Q: What are the prime factors of the number 31,428,896?

 A: 2, 67, 107, 137

Why are those the prime factors of the number 31,428,896?

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 31,428,896

31,428,896
Factor Arrows
215,714,448
Factor Arrows
27,857,224
Factor Arrows
23,928,612
Factor Arrows
21,964,306
Factor Arrows
2982,153
Factor Arrows
6714,659
Factor Arrows
107137

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, 67, 107, 137

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 67 x 107 x 137 = 31,428,896

This can also be written as 25 x 671 x 1071 x 1371 = 31,428,896

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 31,428,896:


Ask a Question