Q: What are the prime factors of the number 11,244,028?

 A: 2, 457, 6151

Why are those the prime factors of the number 11,244,028?

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 11,244,028

11,244,028
Factor Arrows
25,622,014
Factor Arrows
22,811,007
Factor Arrows
4576,151

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, 457, 6151

We can check our work by multiplying all of the prime factors together: 2 x 2 x 457 x 6,151 = 11,244,028

This can also be written as 22 x 4571 x 6,1511 = 11,244,028

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


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