Q: What are the prime factors of the number 13,382,352?

 A: 2, 3, 199, 467

Why are those the prime factors of the number 13,382,352?

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 13,382,352

13,382,352
Factor Arrows
26,691,176
Factor Arrows
23,345,588
Factor Arrows
21,672,794
Factor Arrows
2836,397
Factor Arrows
3278,799
Factor Arrows
392,933
Factor Arrows
199467

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, 199, 467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 199 x 467 = 13,382,352

This can also be written as 24 x 32 x 1991 x 4671 = 13,382,352

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


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