Q: What are the prime factors of the number 11,313,744?

 A: 2, 3, 13, 18131

Why are those the prime factors of the number 11,313,744?

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 11,313,744

11,313,744
Factor Arrows
25,656,872
Factor Arrows
22,828,436
Factor Arrows
21,414,218
Factor Arrows
2707,109
Factor Arrows
3235,703
Factor Arrows
1318,131

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, 13, 18131

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 13 x 18,131 = 11,313,744

This can also be written as 24 x 31 x 131 x 18,1311 = 11,313,744

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


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