Q: What are the prime factors of the number 882,696?

 A: 2, 3, 36779

Why are those the prime factors of the number 882,696?

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 882,696

882,696
Factor Arrows
2441,348
Factor Arrows
2220,674
Factor Arrows
2110,337
Factor Arrows
336,779

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, 3, 36779

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 36,779 = 882,696

This can also be written as 23 x 31 x 36,7791 = 882,696

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


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