Q: What are the prime factors of the number 888,998?

 A: 2, 11, 17, 2377

Why are those the prime factors of the number 888,998?

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 888,998

888,998
Factor Arrows
2444,499
Factor Arrows
1140,409
Factor Arrows
172,377

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, 11, 17, 2377

We can check our work by multiplying all of the prime factors together: 2 x 11 x 17 x 2,377 = 888,998

This can also be written as 21 x 111 x 171 x 2,3771 = 888,998

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


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