Q: What are the prime factors of the number 13,461,390?

 A: 2, 3, 5, 16619

Why are those the prime factors of the number 13,461,390?

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 13,461,390

13,461,390
Factor Arrows
26,730,695
Factor Arrows
32,243,565
Factor Arrows
3747,855
Factor Arrows
3249,285
Factor Arrows
383,095
Factor Arrows
516,619

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, 5, 16619

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 16,619 = 13,461,390

This can also be written as 21 x 34 x 51 x 16,6191 = 13,461,390

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 13,461,390:


Ask a Question