Q: What are the prime factors of the number 131,202,015?

 A: 3, 5, 7, 79, 15817

Why are those the prime factors of the number 131,202,015?

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 131,202,015

131,202,015
Factor Arrows
343,734,005
Factor Arrows
58,746,801
Factor Arrows
71,249,543
Factor Arrows
7915,817

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, 7, 79, 15817

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 79 x 15,817 = 131,202,015

This can also be written as 31 x 51 x 71 x 791 x 15,8171 = 131,202,015

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


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