Q: What are the prime factors of the number 15,877,836?

 A: 2, 3, 13, 43, 263

Why are those the prime factors of the number 15,877,836?

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 15,877,836

15,877,836
Factor Arrows
27,938,918
Factor Arrows
23,969,459
Factor Arrows
31,323,153
Factor Arrows
3441,051
Factor Arrows
3147,017
Factor Arrows
1311,309
Factor Arrows
43263

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, 13, 43, 263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 13 x 43 x 263 = 15,877,836

This can also be written as 22 x 33 x 131 x 431 x 2631 = 15,877,836

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 15,877,836:


Ask a Question