Q: What are the prime factors of the number 97,907,136?

 A: 2, 3, 23, 22171

Why are those the prime factors of the number 97,907,136?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 97,907,136

97,907,136
Factor Arrows
248,953,568
Factor Arrows
224,476,784
Factor Arrows
212,238,392
Factor Arrows
26,119,196
Factor Arrows
23,059,598
Factor Arrows
21,529,799
Factor Arrows
3509,933
Factor Arrows
2322,171

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 23, 22171

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23 x 22,171 = 97,907,136

This can also be written as 26 x 31 x 231 x 22,1711 = 97,907,136

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 97,907,136:


Ask a Question