Question

Question #c64ae

Answer 1

`212=2^2 * 53`

Explanation:

First, note that `212` is even and `212=2*106`. We next note that `106` is even and `106=2*53`.

The number `53` is odd, but is it prime? You can test this by seeing if it's divisible by any prime numbers between `2` and `sqrt(53)approx 7.28`.

We already know `53` is not divisible by 2 since it's not even. It's not divisible by 3 since `53/3 approx 17.67` (also its digits add up to 8, which is not divisible by 3). It's not divisible by 5 since it does not end in a 0 or a 5. And it's not divisible by 7 since `53/7 approx 7.57`.

Therefore, 53 is prime and the final answer is `212=2^2 * 53`.