Q: What are the prime factors of the number 8,264,844?

 A: 2, 3, 7, 32797

Why are those the prime factors of the number 8,264,844?

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 8,264,844

8,264,844
Factor Arrows
24,132,422
Factor Arrows
22,066,211
Factor Arrows
3688,737
Factor Arrows
3229,579
Factor Arrows
732,797

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, 7, 32797

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 32,797 = 8,264,844

This can also be written as 22 x 32 x 71 x 32,7971 = 8,264,844

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


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