Q: What are the prime factors of the number 892,996?

 A: 2, 13, 1321

Why are those the prime factors of the number 892,996?

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 892,996

892,996
Factor Arrows
2446,498
Factor Arrows
2223,249
Factor Arrows
1317,173
Factor Arrows
131,321

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, 13, 1321

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 13 x 1,321 = 892,996

This can also be written as 22 x 132 x 1,3211 = 892,996

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


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