Q: What are the prime factors of the number 888,656?

 A: 2, 55541

Why are those the prime factors of the number 888,656?

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 888,656

888,656
Factor Arrows
2444,328
Factor Arrows
2222,164
Factor Arrows
2111,082
Factor Arrows
255,541

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, 55541

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 55,541 = 888,656

This can also be written as 24 x 55,5411 = 888,656

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


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