Q: What are the prime factors of the number 11,232,504?

 A: 2, 3, 156007

Why are those the prime factors of the number 11,232,504?

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 11,232,504

11,232,504
Factor Arrows
25,616,252
Factor Arrows
22,808,126
Factor Arrows
21,404,063
Factor Arrows
3468,021
Factor Arrows
3156,007

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, 156007

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 156,007 = 11,232,504

This can also be written as 23 x 32 x 156,0071 = 11,232,504

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


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