Q: What are the prime factors of the number 653,277,036?

 A: 2, 3, 54439753

Why are those the prime factors of the number 653,277,036?

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 653,277,036

653,277,036
Factor Arrows
2326,638,518
Factor Arrows
2163,319,259
Factor Arrows
354,439,753

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, 54439753

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 54,439,753 = 653,277,036

This can also be written as 22 x 31 x 54,439,7531 = 653,277,036

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


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