Q: What are the prime factors of the number 888,176?

 A: 2, 55511

Why are those the prime factors of the number 888,176?

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 888,176

888,176
Factor Arrows
2444,088
Factor Arrows
2222,044
Factor Arrows
2111,022
Factor Arrows
255,511

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, 55511

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 55,511 = 888,176

This can also be written as 24 x 55,5111 = 888,176

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


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