Q: What are the prime factors of the number 131,060,040?

 A: 2, 3, 5, 67, 16301

Why are those the prime factors of the number 131,060,040?

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 131,060,040

131,060,040
Factor Arrows
265,530,020
Factor Arrows
232,765,010
Factor Arrows
216,382,505
Factor Arrows
35,460,835
Factor Arrows
51,092,167
Factor Arrows
6716,301

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, 5, 67, 16301

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 67 x 16,301 = 131,060,040

This can also be written as 23 x 31 x 51 x 671 x 16,3011 = 131,060,040

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 131,060,040:


Ask a Question