Q: What are the prime factors of the number 515,631,232?

 A: 2, 43, 93683

Why are those the prime factors of the number 515,631,232?

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 515,631,232

515,631,232
Factor Arrows
2257,815,616
Factor Arrows
2128,907,808
Factor Arrows
264,453,904
Factor Arrows
232,226,952
Factor Arrows
216,113,476
Factor Arrows
28,056,738
Factor Arrows
24,028,369
Factor Arrows
4393,683

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, 43, 93683

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 2 x 43 x 93,683 = 515,631,232

This can also be written as 27 x 431 x 93,6831 = 515,631,232

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


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