Q: What are the prime factors of the number 11,088,984?

 A: 2, 3, 462041

Why are those the prime factors of the number 11,088,984?

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 11,088,984

11,088,984
Factor Arrows
25,544,492
Factor Arrows
22,772,246
Factor Arrows
21,386,123
Factor Arrows
3462,041

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, 462041

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 462,041 = 11,088,984

This can also be written as 23 x 31 x 462,0411 = 11,088,984

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


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