## Basic College Mathematics (9th Edition)

Published by Pearson

# Chapter 2 - Multiplying and Dividing Fractions - 2.3 Factors - 2.3 Exercises: 35

#### Answer

$5^{2}$

#### Work Step by Step

In order to find the prime factorization of 25, we can try to divide 25 by the first prime, 2. 25 cannot be divided by 2 or 3, so we divide by the next prime, 5. $25\div5=5$ 5 itself is a prime number, so we cannot simplify any more. The prime factorization of 25 is $5\times5=5^{2}$.

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