Q: What are the prime factors of the number 640,665,414?

 A: 2, 3, 23, 1547501

Why are those the prime factors of the number 640,665,414?

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 640,665,414

640,665,414
Factor Arrows
2320,332,707
Factor Arrows
3106,777,569
Factor Arrows
335,592,523
Factor Arrows
231,547,501

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, 23, 1547501

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 23 x 1,547,501 = 640,665,414

This can also be written as 21 x 32 x 231 x 1,547,5011 = 640,665,414

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


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