Q: What are the prime factors of the number 577,116,644?

 A: 2, 13, 23, 482539

Why are those the prime factors of the number 577,116,644?

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 577,116,644

577,116,644
Factor Arrows
2288,558,322
Factor Arrows
2144,279,161
Factor Arrows
1311,098,397
Factor Arrows
23482,539

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, 23, 482539

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 23 x 482,539 = 577,116,644

This can also be written as 22 x 131 x 231 x 482,5391 = 577,116,644

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


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