Q: What are the prime factors of the number 891,044?

 A: 2, 7, 11, 263

Why are those the prime factors of the number 891,044?

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 891,044

891,044
Factor Arrows
2445,522
Factor Arrows
2222,761
Factor Arrows
731,823
Factor Arrows
112,893
Factor Arrows
11263

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, 7, 11, 263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 11 x 11 x 263 = 891,044

This can also be written as 22 x 71 x 112 x 2631 = 891,044

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


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