Q: What are the prime factors of the number 515,845,624?

 A: 2, 7, 9211529

Why are those the prime factors of the number 515,845,624?

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 515,845,624

515,845,624
Factor Arrows
2257,922,812
Factor Arrows
2128,961,406
Factor Arrows
264,480,703
Factor Arrows
79,211,529

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, 7, 9211529

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 9,211,529 = 515,845,624

This can also be written as 23 x 71 x 9,211,5291 = 515,845,624

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


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