Q: What are the prime factors of the number 643,517,370?

 A: 2, 3, 5, 7150193

Why are those the prime factors of the number 643,517,370?

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 643,517,370

643,517,370
Factor Arrows
2321,758,685
Factor Arrows
3107,252,895
Factor Arrows
335,750,965
Factor Arrows
57,150,193

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, 7150193

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 7,150,193 = 643,517,370

This can also be written as 21 x 32 x 51 x 7,150,1931 = 643,517,370

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


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