Q: What are the prime factors of the number 870,864?

 A: 2, 3, 18143

Why are those the prime factors of the number 870,864?

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 870,864

870,864
Factor Arrows
2435,432
Factor Arrows
2217,716
Factor Arrows
2108,858
Factor Arrows
254,429
Factor Arrows
318,143

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, 18143

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 18,143 = 870,864

This can also be written as 24 x 31 x 18,1431 = 870,864

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


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