Q: What are the prime factors of the number 615,505,056?

 A: 2, 3, 1427, 4493

Why are those the prime factors of the number 615,505,056?

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 615,505,056

615,505,056
Factor Arrows
2307,752,528
Factor Arrows
2153,876,264
Factor Arrows
276,938,132
Factor Arrows
238,469,066
Factor Arrows
219,234,533
Factor Arrows
36,411,511
Factor Arrows
1,4274,493

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, 1427, 4493

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 1,427 x 4,493 = 615,505,056

This can also be written as 25 x 31 x 1,4271 x 4,4931 = 615,505,056

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


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