Q: What are the prime factors of the number 515,403,336?

 A: 2, 3, 7, 3067877

Why are those the prime factors of the number 515,403,336?

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 515,403,336

515,403,336
Factor Arrows
2257,701,668
Factor Arrows
2128,850,834
Factor Arrows
264,425,417
Factor Arrows
321,475,139
Factor Arrows
73,067,877

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, 7, 3067877

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 3,067,877 = 515,403,336

This can also be written as 23 x 31 x 71 x 3,067,8771 = 515,403,336

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


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