Q: What are the prime factors of the number 6,420,992?

 A: 2, 12541

Why are those the prime factors of the number 6,420,992?

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 6,420,992

6,420,992
Factor Arrows
23,210,496
Factor Arrows
21,605,248
Factor Arrows
2802,624
Factor Arrows
2401,312
Factor Arrows
2200,656
Factor Arrows
2100,328
Factor Arrows
250,164
Factor Arrows
225,082
Factor Arrows
212,541

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, 12541

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 12,541 = 6,420,992

This can also be written as 29 x 12,5411 = 6,420,992

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


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