Q: What are the prime factors of the number 10,882,712?

 A: 2, 41, 33179

Why are those the prime factors of the number 10,882,712?

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 10,882,712

10,882,712
Factor Arrows
25,441,356
Factor Arrows
22,720,678
Factor Arrows
21,360,339
Factor Arrows
4133,179

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, 41, 33179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 41 x 33,179 = 10,882,712

This can also be written as 23 x 411 x 33,1791 = 10,882,712

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


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