Q: What are the prime factors of the number 56,913,744?

 A: 2, 3, 1185703

Why are those the prime factors of the number 56,913,744?

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 56,913,744

56,913,744
Factor Arrows
228,456,872
Factor Arrows
214,228,436
Factor Arrows
27,114,218
Factor Arrows
23,557,109
Factor Arrows
31,185,703

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, 1185703

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 1,185,703 = 56,913,744

This can also be written as 24 x 31 x 1,185,7031 = 56,913,744

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 56,913,744:


Ask a Question