Q: What are the prime factors of the number 131,135,501?

 A: 7, 17, 127, 8677

Why are those the prime factors of the number 131,135,501?

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 131,135,501

131,135,501
Factor Arrows
718,733,643
Factor Arrows
171,101,979
Factor Arrows
1278,677

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:

7, 17, 127, 8677

We can check our work by multiplying all of the prime factors together: 7 x 17 x 127 x 8,677 = 131,135,501

This can also be written as 71 x 171 x 1271 x 8,6771 = 131,135,501

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 131,135,501:


Ask a Question