Q: What are the prime factors of the number 11,042,832?

 A: 2, 3, 230059

Why are those the prime factors of the number 11,042,832?

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 11,042,832

11,042,832
Factor Arrows
25,521,416
Factor Arrows
22,760,708
Factor Arrows
21,380,354
Factor Arrows
2690,177
Factor Arrows
3230,059

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, 230059

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 230,059 = 11,042,832

This can also be written as 24 x 31 x 230,0591 = 11,042,832

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


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