Q: What are the prime factors of the number 615,532,160?

 A: 2, 5, 961769

Why are those the prime factors of the number 615,532,160?

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 615,532,160

615,532,160
Factor Arrows
2307,766,080
Factor Arrows
2153,883,040
Factor Arrows
276,941,520
Factor Arrows
238,470,760
Factor Arrows
219,235,380
Factor Arrows
29,617,690
Factor Arrows
24,808,845
Factor Arrows
5961,769

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, 5, 961769

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 961,769 = 615,532,160

This can also be written as 27 x 51 x 961,7691 = 615,532,160

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


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