Q: What are the prime factors of the number 130,137,165?

 A: 3, 5, 963979

Why are those the prime factors of the number 130,137,165?

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 130,137,165

130,137,165
Factor Arrows
343,379,055
Factor Arrows
314,459,685
Factor Arrows
34,819,895
Factor Arrows
5963,979

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:

3, 5, 963979

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 963,979 = 130,137,165

This can also be written as 33 x 51 x 963,9791 = 130,137,165

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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