Q: What are the prime factors of the number 640,176?

 A: 2, 3, 13337

Why are those the prime factors of the number 640,176?

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 640,176

640,176
Factor Arrows
2320,088
Factor Arrows
2160,044
Factor Arrows
280,022
Factor Arrows
240,011
Factor Arrows
313,337

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, 13337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 13,337 = 640,176

This can also be written as 24 x 31 x 13,3371 = 640,176

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


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