Q: What are the prime factors of the number 643,572,660?

 A: 2, 3, 5, 23, 466357

Why are those the prime factors of the number 643,572,660?

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 643,572,660

643,572,660
Factor Arrows
2321,786,330
Factor Arrows
2160,893,165
Factor Arrows
353,631,055
Factor Arrows
510,726,211
Factor Arrows
23466,357

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, 5, 23, 466357

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 23 x 466,357 = 643,572,660

This can also be written as 22 x 31 x 51 x 231 x 466,3571 = 643,572,660

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


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