Q: What are the prime factors of the number 6,391,924?

 A: 2, 7, 11, 20753

Why are those the prime factors of the number 6,391,924?

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 6,391,924

6,391,924
Factor Arrows
23,195,962
Factor Arrows
21,597,981
Factor Arrows
7228,283
Factor Arrows
1120,753

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, 7, 11, 20753

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 11 x 20,753 = 6,391,924

This can also be written as 22 x 71 x 111 x 20,7531 = 6,391,924

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


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