Q: What are the prime factors of the number 15,867,376?

 A: 2, 7, 37, 547

Why are those the prime factors of the number 15,867,376?

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 15,867,376

15,867,376
Factor Arrows
27,933,688
Factor Arrows
23,966,844
Factor Arrows
21,983,422
Factor Arrows
2991,711
Factor Arrows
7141,673
Factor Arrows
720,239
Factor Arrows
37547

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, 7, 37, 547

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 7 x 37 x 547 = 15,867,376

This can also be written as 24 x 72 x 371 x 5471 = 15,867,376

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 15,867,376:


Ask a Question