Q: What are the prime factors of the number 615,701,216?

 A: 2, 13, 223, 6637

Why are those the prime factors of the number 615,701,216?

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 615,701,216

615,701,216
Factor Arrows
2307,850,608
Factor Arrows
2153,925,304
Factor Arrows
276,962,652
Factor Arrows
238,481,326
Factor Arrows
219,240,663
Factor Arrows
131,480,051
Factor Arrows
2236,637

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, 13, 223, 6637

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 13 x 223 x 6,637 = 615,701,216

This can also be written as 25 x 131 x 2231 x 6,6371 = 615,701,216

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


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