# What is the prime factorization of 230?

Feb 17, 2016

$230 = 2 \cdot 5 \cdot 23$

#### Explanation:

We can work through the prime numbers.

Consider the first prime number 2. We ask ourselves if 230 is divisible by 2 and yes it is. So divide by 2 and we get: 115.

Thus $230 = 2 \left(115\right)$

We now ask if 115 is divisible by 2 but it is not. So we move onto the next prime number, 3.

115 is not divisible by 3, so we move onto 5. 115 is divisible by 5 so we factor out 5 to obtain: $230 = 2 \cdot 5 \cdot 23$

23 itself is a prime number so we have completed the prime factorisation.