Q: What are the prime factors of the number 380,157,376?

 A: 2, 5939959

Why are those the prime factors of the number 380,157,376?

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 380,157,376

380,157,376
Factor Arrows
2190,078,688
Factor Arrows
295,039,344
Factor Arrows
247,519,672
Factor Arrows
223,759,836
Factor Arrows
211,879,918
Factor Arrows
25,939,959

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, 5939959

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 5,939,959 = 380,157,376

This can also be written as 26 x 5,939,9591 = 380,157,376

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 380,157,376:


Ask a Question