# What is the prime factorization of 90?

Apr 7, 2016

2,3,3,5

#### Explanation:

Using the smallest prime, 2, divide 90. $\frac{90}{2} = 45$

The smallest prime will not go into 45, so divide by the next smallest prime, 3. $\frac{45}{3} = 15$

But 15 is also divisible by 3, so divide again. $\frac{15}{3} = 5$

5 is a prime number, so the prime factors of 90 are... 2x3x3x5