Q: What are the prime factors of the number 113,122,332?

 A: 2, 3, 116381

Why are those the prime factors of the number 113,122,332?

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 113,122,332

113,122,332
Factor Arrows
256,561,166
Factor Arrows
228,280,583
Factor Arrows
39,426,861
Factor Arrows
33,142,287
Factor Arrows
31,047,429
Factor Arrows
3349,143
Factor Arrows
3116,381

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, 116381

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 116,381 = 113,122,332

This can also be written as 22 x 35 x 116,3811 = 113,122,332

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 113,122,332:


Ask a Question