Q: What are the prime factors of the number 38,367,744?

 A: 2, 3, 24979

Why are those the prime factors of the number 38,367,744?

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 38,367,744

38,367,744
Factor Arrows
219,183,872
Factor Arrows
29,591,936
Factor Arrows
24,795,968
Factor Arrows
22,397,984
Factor Arrows
21,198,992
Factor Arrows
2599,496
Factor Arrows
2299,748
Factor Arrows
2149,874
Factor Arrows
274,937
Factor Arrows
324,979

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, 24979

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 2 x 2 x 3 x 24,979 = 38,367,744

This can also be written as 29 x 31 x 24,9791 = 38,367,744

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 38,367,744:


Ask a Question