Q: What are the prime factors of the number 868,928?

 A: 2, 13577

Why are those the prime factors of the number 868,928?

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 868,928

868,928
Factor Arrows
2434,464
Factor Arrows
2217,232
Factor Arrows
2108,616
Factor Arrows
254,308
Factor Arrows
227,154
Factor Arrows
213,577

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, 13577

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 13,577 = 868,928

This can also be written as 26 x 13,5771 = 868,928

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


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