Q: What are the prime factors of the number 864,984?

 A: 2, 3, 23, 1567

Why are those the prime factors of the number 864,984?

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 864,984

864,984
Factor Arrows
2432,492
Factor Arrows
2216,246
Factor Arrows
2108,123
Factor Arrows
336,041
Factor Arrows
231,567

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, 23, 1567

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 23 x 1,567 = 864,984

This can also be written as 23 x 31 x 231 x 1,5671 = 864,984

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


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