Q: What are the prime factors of the number 377,507,181?

 A: 3, 19, 29, 31, 53, 139

Why are those the prime factors of the number 377,507,181?

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 377,507,181

377,507,181
Factor Arrows
3125,835,727
Factor Arrows
196,622,933
Factor Arrows
29228,377
Factor Arrows
317,367
Factor Arrows
53139

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:

3, 19, 29, 31, 53, 139

We can check our work by multiplying all of the prime factors together: 3 x 19 x 29 x 31 x 53 x 139 = 377,507,181

This can also be written as 31 x 191 x 291 x 311 x 531 x 1391 = 377,507,181

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 377,507,181:


Ask a Question