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Exercises Expressions, exponents and radicals

Example 2.46 from Prealgebra, 2.4 Find Multiples and Factors

Find Multiples and Factors: example 2.46

Find all the factors of $72 .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
Divide $72$ by each of the counting numbers starting with $1 .$ If the quotient is a whole number, the divisor and quotient are a pair of factors.

The next line would have a divisor of $9$ and a quotient of $8 .$ The quotient would be smaller than the divisor, so we stop. If we continued, we would end up only listing the same factors again in reverse order. Listing all the factors from smallest to greatest, we have

$1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Find all the factors of the given number:

$96$

How did it go?

PreviousFind Multiples and Factors: example 2.45 Next Find Multiples and Factors: example 2.47

From Prealgebra (1st edition) by OpenStax (Rice University), section 2.4, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.