#### Answer

$2\times3\times5^{2}$

#### Work Step by Step

A number is prime if it has only two factors: 1 and itself.
We know that the factors of 150 are 1, 2, 3, 5, 10, 15, 30, 50, 75 and 150.
2 is a prime number, so we can divide 150 by 2
$150\div2=75$
The factors of 75 are 1, 3, 5, 15, 25, and 75. Since 3 is a prime number, divide by 3.
$75\div3=25$
The factors of 25 are 1, 5, and 25. Since 5 is a prime number, divide by 5.
5 is also a prime number
Therefore, the prime factorization of 150 is $2\times3\times5\times5=2\times3\times5^{2}$.