Q: What are the prime factors of the number 864,776?

 A: 2, 11, 31, 317

Why are those the prime factors of the number 864,776?

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 864,776

864,776
Factor Arrows
2432,388
Factor Arrows
2216,194
Factor Arrows
2108,097
Factor Arrows
119,827
Factor Arrows
31317

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, 11, 31, 317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 31 x 317 = 864,776

This can also be written as 23 x 111 x 311 x 3171 = 864,776

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


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