Q: What are the prime factors of the number 616,087,872?

 A: 2, 3, 1069597

Why are those the prime factors of the number 616,087,872?

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 616,087,872

616,087,872
Factor Arrows
2308,043,936
Factor Arrows
2154,021,968
Factor Arrows
277,010,984
Factor Arrows
238,505,492
Factor Arrows
219,252,746
Factor Arrows
29,626,373
Factor Arrows
33,208,791
Factor Arrows
31,069,597

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, 1069597

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 3 x 3 x 1,069,597 = 616,087,872

This can also be written as 26 x 32 x 1,069,5971 = 616,087,872

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


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