Q: What are the prime factors of the number 60,139,392?

 A: 2, 3, 199, 787

Why are those the prime factors of the number 60,139,392?

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 60,139,392

60,139,392
Factor Arrows
230,069,696
Factor Arrows
215,034,848
Factor Arrows
27,517,424
Factor Arrows
23,758,712
Factor Arrows
21,879,356
Factor Arrows
2939,678
Factor Arrows
2469,839
Factor Arrows
3156,613
Factor Arrows
199787

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, 199, 787

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 2 x 3 x 199 x 787 = 60,139,392

This can also be written as 27 x 31 x 1991 x 7871 = 60,139,392

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 60,139,392:


Ask a Question