Is 97 prime

Step by step

The question

Question: is 97 a prime number?

A prime number has exactly two factors: 1 and itself.

So we look for any other number that goes into 97.

1 Try dividing

Does 2 go in?

97 divided by 2 is 48, with 1 left over.

So 2 is not a factor.

Does 3 go in?

97 divided by 3 is 32, with 1 left over.

So 3 is not a factor.

Does 4 go in?

97 divided by 4 is 24, with 1 left over.

So 4 is not a factor.

Does 5 go in?

97 divided by 5 is 19, with 2 left over.

So 5 is not a factor.

Does 6 go in?

97 divided by 6 is 16, with 1 left over.

So 6 is not a factor.

Does 7 go in?

97 divided by 7 is 13, with 6 left over.

So 7 is not a factor.

Does 8 go in?

97 divided by 8 is 12, with 1 left over.

So 8 is not a factor.

Does 9 go in?

97 divided by 9 is 10, with 7 left over.

So 9 is not a factor.

Next is 10.

But 10 times 10 is 100, more than 97.

So nothing bigger can go in.

We stop.

2 Decide

Nothing goes in, only 1 and 97.

So 97 is prime.

Let's look back.

First: try dividing.

Last: decide.