Q: What are the prime factors of the number 11,231,244?

 A: 2, 3, 103993

Why are those the prime factors of the number 11,231,244?

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 11,231,244

11,231,244
Factor Arrows
25,615,622
Factor Arrows
22,807,811
Factor Arrows
3935,937
Factor Arrows
3311,979
Factor Arrows
3103,993

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, 103993

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 103,993 = 11,231,244

This can also be written as 22 x 33 x 103,9931 = 11,231,244

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


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