Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter R - Section R.1 - Factors and the Least Common Multiple - Practice - Page R-2: 2

Answer

Finding the factors of 10 are 1, 2, 5, and 10. To find factors we need to find the lowest common multiple (LCM) of the given number: 10 Factors are the group of numbers which divides into the given number. Here, the given number 10 can be written as: 10 = 10*1 10=(2*5)*1 10= 2*5*1 so the group of numbers divisible by 10 as above are -- 10(itself) , 2 , 5 , and 1 therefore, the factors of 10 are -- 10 , 2 , 5 , and 1 note: 1 and the NUMBER itself are always factors of the given NUMBER

Work Step by Step

To find the factors of a number you find all the whole real numbers that the number can be divided by. 1 and the number itself are always factors. So that means 1 and 10 are factors of 10. Next, try dividing 10 by the next highest whole real number, which is 2. You then try to find a number that multiplies with 2 to get you the product of 10. Resulting in the number 5, because 2 multiplied by 5 equals 10. So that means that 2 and 5 are factors of 10. Next, try 3 which does not divide evenly into 10. Next, try 4 which does not divide evenly into 10 either. You have already found that 5 is a factor of 10. Once you reach a factor that has already been found, then you are finished. So that means that 1, 2, 5, and 10 are the only factors of 10.
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