Q: What are the prime factors of the number 11,110,992?

 A: 2, 3, 231479

Why are those the prime factors of the number 11,110,992?

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 11,110,992

11,110,992
Factor Arrows
25,555,496
Factor Arrows
22,777,748
Factor Arrows
21,388,874
Factor Arrows
2694,437
Factor Arrows
3231,479

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, 231479

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 231,479 = 11,110,992

This can also be written as 24 x 31 x 231,4791 = 11,110,992

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


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