Q: What are the prime factors of the number 886,976?

 A: 2, 13859

Why are those the prime factors of the number 886,976?

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 886,976

886,976
Factor Arrows
2443,488
Factor Arrows
2221,744
Factor Arrows
2110,872
Factor Arrows
255,436
Factor Arrows
227,718
Factor Arrows
213,859

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, 13859

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 13,859 = 886,976

This can also be written as 26 x 13,8591 = 886,976

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


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