Q: What are the prime factors of the number 641,640?

 A: 2, 3, 5, 5347

Why are those the prime factors of the number 641,640?

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 641,640

641,640
Factor Arrows
2320,820
Factor Arrows
2160,410
Factor Arrows
280,205
Factor Arrows
326,735
Factor Arrows
55,347

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, 5347

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 5,347 = 641,640

This can also be written as 23 x 31 x 51 x 5,3471 = 641,640

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


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