Q: What are the prime factors of the number 131,240,616?

 A: 2, 3, 13, 547, 769

Why are those the prime factors of the number 131,240,616?

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 131,240,616

131,240,616
Factor Arrows
265,620,308
Factor Arrows
232,810,154
Factor Arrows
216,405,077
Factor Arrows
35,468,359
Factor Arrows
13420,643
Factor Arrows
547769

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, 13, 547, 769

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 13 x 547 x 769 = 131,240,616

This can also be written as 23 x 31 x 131 x 5471 x 7691 = 131,240,616

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


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