Q: What are the prime factors of the number 1,387,328?

 A: 2, 53, 409

Why are those the prime factors of the number 1,387,328?

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 1,387,328

1,387,328
Factor Arrows
2693,664
Factor Arrows
2346,832
Factor Arrows
2173,416
Factor Arrows
286,708
Factor Arrows
243,354
Factor Arrows
221,677
Factor Arrows
53409

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, 53, 409

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 53 x 409 = 1,387,328

This can also be written as 26 x 531 x 4091 = 1,387,328

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 1,387,328:


Ask a Question