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Multiples, Factors, GCD, LCM: 11000 Solved Problems in Elementary Number Theory to Improve your Multiplication and Division Skills

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Multiples, Factors, GCD, LCM: 11000 Solved Problems in Elementary Number Theory to Improve your Multiplication and Division Skills

4.85 24,950 ratings · 4,559 reviews
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Overview: The World Runs on NumbersNumbers are very important, and the four basic operations of addition, subtraction, multiplication and division are crucial for many daily life tasks.This book focuses on a few important applications of multiplication and division.Factors and multiples are two closely related concepts in mathematics that have puzzled many elementary students over the years; many of us never mastered these concepts in school, and struggle consequently, when we encounter these later in life.This book will remove all those problems, and give you a thorough grounding in factors, multiples, Lowest Common Multiples, and Greatest Common Divisions.The book is divided into many different parts, one dedicated to each of the concepts above (in addition to sections on Remainders and Quotients). Each section starts with a refresher course in all the theory you need to tackle the concept to which that section is dedicated. It then goes on to a number of practice problems. Should you need the detailed solutions, those are available as well.The book ends with a large number of challenge problems in these concepts - once you feel that your basics are firmly in place, you should go on and challenge yourself, to see if you can replicate your success with larger numbers, and more involved problems and concepts. If you were able to absorb all that you needed to from the first few chapters that gave you the theory and solved problems that you needed, you will have absolutely no problem when it comes to the challenge section, even though you may take a little longer to come up with the correct answers.Factors and multiples have many applications in the modern world, from cryptography and bitcoin, to many applications that ensure the security and integrity of our personal data online. Understanding how these work is essential to understanding many concepts of new technology that pervade our world today.The world is divided into two kinds of people: those who find numbers fascinating, and those who find numbers a necessary evil.Regardless of which of these categories you fall in, you will need numbers to a small extent, or to a large extent.Basic Arithmetic is largely about factors, multiples, and prime numbers. After one learns the four basic operations, one moves to applications of multiplication and division - chief among which are the subject of this book.Within the pages of this book, you can find all the facts relating to Factors, Multiples, GCD, LCM, and Prime Numbers in one place. You can also find thousands of practice problems, so that you can sharpen the skills you learn in the theory section, and develop both speed and accuracy. 700+ pages, 10000+ practice exercises - you will never run out!Almost anyone can use this book: if you are someone who is young and is just starting out, it's a good place to learn the basics. If you are someone who has forgotten a large part of what they had learnt about factors and multiples, you can find everything you need here. Finally, if you have feared mathematics for a long time, but are taking the first steps towards banishing your phobia, I commend you, and assure you that this book will help you.Let's get started. Have fun!

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Pages 756
Publisher Independently Published
Published N/A
ISBN 57495953
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Norman Sanko
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Norman Sanko
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Norman Sanko is a writer and avid reader based in the Pacific Northwest. Before pursuing writing full-time, they spent over a decade working in education. When not working on their next book, Norman Sanko can usually be found hiking with their dog or trying out new coffee shops in their neighborhood.

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Elizabeth Mitchell
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Excellent, though slightly flawed. It held my rapt attention, even when certain twists were telegraphed. A wonderful companion for a quiet weekend.
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Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. A true literary gem.
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Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading.
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Sharon Nguyen
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Honestly one of the most premium reading experiences lately. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. Worth every moment spent reading.
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Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. A true literary gem.
Lisa Garcia
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Such a rich narrative. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An absolute must-read for connoisseurs of the genre.
Gary Hernandez
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I thoroughly enjoyed the elegance of it. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel.
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Honestly one of the most premium reading experiences lately. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem.
Sharon  Parker
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Honestly one of the most premium reading experiences lately. The author orchestrated a breathtaking finale. Truly a work of art. I will undoubtedly revisit this masterpiece.
Sarah Walker
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A highly sophisticated read. It held my rapt attention, even when certain twists were telegraphed. A wonderful companion for a quiet weekend.
Sandra Jones
Sandra Jones November 02, 2025
Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author.
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A very strong entry. A brilliant concept executed with flair. Just a few pacing choices I would change. A very distinguished novel.
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Andrew Evans
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An acceptable diversion. It verged on repetitive in the second act. A more concise edit would have served it well. Perfectly average.
Donald Walker
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I thoroughly enjoyed the elegance of it. The protagonist was compelling, though some subplots felt slightly overshadowed. I would highly recommend this to discerning readers.
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Masterpiece from start to finish. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem.
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Carol Wright
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Honestly one of the most premium reading experiences lately. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author.
Ashley Jones
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A profoundly satisfying read. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading.
Kimberly Gonzalez
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Sharon King
Sharon King September 11, 2024
Absolutely brilliant. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece.
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Masterpiece from start to finish. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I am now a lifelong fan of this author.
Lisa Wright
Lisa Wright August 28, 2024
A profoundly satisfying read. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I will undoubtedly revisit this masterpiece.
Sandra Adams
Sandra Adams December 14, 2024
A very strong entry. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. I would highly recommend this to discerning readers.
Susan Clark
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Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I will undoubtedly revisit this masterpiece.
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Honestly one of the most premium reading experiences lately. I adored how the story unfolded. It kept me captivated without sacrificing elegance. Worth every moment spent reading.
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Took a moment to build, but the payoff was spectacular. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel.
Sharon Moore
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Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I am now a lifelong fan of this author.
Dorothy Nelson
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Such a rich narrative. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An absolute must-read for connoisseurs of the genre.
Amanda Collins
Amanda Collins April 15, 2025
I thoroughly enjoyed the elegance of it. It held my rapt attention, even when certain twists were telegraphed. I would highly recommend this to discerning readers.
Melissa Williams
Melissa Williams December 05, 2024
A very strong entry. The protagonist was compelling, though some subplots felt slightly overshadowed. A wonderful companion for a quiet weekend.
Stephanie Wilson
Stephanie Wilson June 17, 2024
Took a moment to build, but the payoff was spectacular. The protagonist was compelling, though some subplots felt slightly overshadowed. Quite impressive overall.
Nicholas Garcia
Nicholas Garcia June 16, 2024
Masterpiece from start to finish. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I am now a lifelong fan of this author.
Edward King
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Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author.
Jacob Smith
Jacob Smith May 14, 2024
Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece.
Mark Garcia
Mark Garcia December 29, 2024
Excellent, though slightly flawed. A brilliant concept executed with flair. Just a few pacing choices I would change. Quite impressive overall.
Mary White
Mary White May 23, 2024
Took a moment to build, but the payoff was spectacular. The middle had a deliberate pace, but the climax was phenomenal. A very distinguished novel.
Steven Smith
Steven Smith September 21, 2024
Masterpiece from start to finish. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. Worth every moment spent reading.
Donald Ramirez
Donald Ramirez February 02, 2025
I thoroughly enjoyed the elegance of it. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A very distinguished novel.
Anthony White
Anthony White January 03, 2024
Excellent, though slightly flawed. It held my rapt attention, even when certain twists were telegraphed. A solid 4 stars from me.
Christopher Reyes
Christopher Reyes September 12, 2025
I thoroughly enjoyed the elegance of it. A brilliant concept executed with flair. Just a few pacing choices I would change. A very distinguished novel.
Robert Nelson
Robert Nelson April 30, 2024
A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. A solid 4 stars from me.
Richard Miller
Richard Miller August 06, 2025
A very strong entry. The middle had a deliberate pace, but the climax was phenomenal. A solid 4 stars from me.
Ashley Taylor
Ashley Taylor January 15, 2025
Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An absolute must-read for connoisseurs of the genre.
Joseph  Parker
Joseph Parker June 25, 2025
Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author.
Rebecca Edwards
Rebecca Edwards March 03, 2025
Took a moment to build, but the payoff was spectacular. It held my rapt attention, even when certain twists were telegraphed. I would highly recommend this to discerning readers.
Melissa Ramirez
Melissa Ramirez June 03, 2025
Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An absolute must-read for connoisseurs of the genre.
Cynthia Hill
Cynthia Hill March 21, 2025
Took a moment to build, but the payoff was spectacular. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A very distinguished novel.
Deborah Anderson
Deborah Anderson September 18, 2025
Not entirely to my refined tastes. The tempo was somewhat languid, and I found my mind wandering. Not poor, simply average. A fair 3 stars.
Sharon Mitchell
Sharon Mitchell February 23, 2025
Excellent, though slightly flawed. The middle had a deliberate pace, but the climax was phenomenal. A wonderful companion for a quiet weekend.
Ryan Nguyen
Ryan Nguyen March 29, 2025
A highly sophisticated read. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A wonderful companion for a quiet weekend.
Nicholas Mitchell
Nicholas Mitchell February 01, 2024
Took a moment to build, but the payoff was spectacular. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. I would highly recommend this to discerning readers.
Christopher Phillips
Christopher Phillips July 03, 2024
Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece.
Jacob Nguyen
Jacob Nguyen January 12, 2024
I find myself somewhat conflicted. The prose was competent, yet the characters lacked the depth I usually seek. Unlikely to reread, but a reasonable expenditure of time.
Stephanie Torres
Stephanie Torres February 01, 2025
Excellent, though slightly flawed. The middle had a deliberate pace, but the climax was phenomenal. A very distinguished novel.
David Martin
David Martin September 02, 2024
Took a moment to build, but the payoff was spectacular. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. Quite impressive overall.
Cynthia Rodriguez
Cynthia Rodriguez February 12, 2025
I was completely blown away. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author.
Stephanie Evans
Stephanie Evans July 19, 2024
Not entirely to my refined tastes. The prose was competent, yet the characters lacked the depth I usually seek. A fair 3 stars.
Nancy Carter
Nancy Carter March 18, 2025
A profoundly satisfying read. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An effortless 5 stars.
Dorothy Rivera
Dorothy Rivera April 05, 2025
Such a rich narrative. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author.
Donna Harris
Donna Harris December 17, 2024
Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author.
Patricia Young
Patricia Young September 28, 2025
Excellent, though slightly flawed. A brilliant concept executed with flair. Just a few pacing choices I would change. A very distinguished novel.
Cynthia Rodriguez
Cynthia Rodriguez January 10, 2025
A very strong entry. The protagonist was compelling, though some subplots felt slightly overshadowed. I would highly recommend this to discerning readers.
Joshua Cruz
Joshua Cruz February 12, 2024
A profoundly satisfying read. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem.
George Reyes
George Reyes July 14, 2025
I thoroughly enjoyed the elegance of it. The middle had a deliberate pace, but the climax was phenomenal. I would highly recommend this to discerning readers.
Thomas Roberts
Thomas Roberts May 10, 2024
Took a moment to build, but the payoff was spectacular. It held my rapt attention, even when certain twists were telegraphed. A solid 4 stars from me.
Donald Moore
Donald Moore August 22, 2025
I find myself somewhat conflicted. The prose was competent, yet the characters lacked the depth I usually seek. Suitable if your reading queue is empty.
Steven Smith
Steven Smith February 13, 2024
Not entirely to my refined tastes. The prose was competent, yet the characters lacked the depth I usually seek. Perfectly average.
Steven  Davis
Steven Davis February 22, 2025
Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author.
Jacob Flores
Jacob Flores May 07, 2025
A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading.
James White
James White September 29, 2024
I thoroughly enjoyed the elegance of it. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. Quite impressive overall.
Kimberly Thomas
Kimberly Thomas October 06, 2024
Honestly one of the most premium reading experiences lately. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An absolute must-read for connoisseurs of the genre.
Robert Wilson
Robert Wilson November 23, 2025
Absolutely brilliant. The prose is exquisite. It’s accessible yet undeniably sophisticated. An absolute must-read for connoisseurs of the genre.
Donna Martinez
Donna Martinez December 18, 2024
I thoroughly enjoyed the elegance of it. A brilliant concept executed with flair. Just a few pacing choices I would change. A very distinguished novel.
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