Q: What are the prime factors of the number 615,076,272?

 A: 2, 3, 4271363

Why are those the prime factors of the number 615,076,272?

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 615,076,272

615,076,272
Factor Arrows
2307,538,136
Factor Arrows
2153,769,068
Factor Arrows
276,884,534
Factor Arrows
238,442,267
Factor Arrows
312,814,089
Factor Arrows
34,271,363

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, 4271363

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 4,271,363 = 615,076,272

This can also be written as 24 x 32 x 4,271,3631 = 615,076,272

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


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