# Chapter 1 - Introduction to Algebraic Expressions - 1.3 Fraction Notation - 1.3 Exercise Set - Page 26: 25

$2\times3\times5$

#### Work Step by Step

A number is prime if it has only two factors: 1 and itself. We know that the factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30. 2 is a prime number, so we can divide 30 by 2 $30\div2=15$ The factors of 15 are 1, 3, 5, 15. Since 3 is a prime number, divide by 3. $15\div3=5$ 5 is also a prime number Therefore, the prime factorization of 30 is $2\times3\times5$.

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