Q: What are the prime factors of the number 13,450,992?

 A: 2, 3, 280229

Why are those the prime factors of the number 13,450,992?

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 13,450,992

13,450,992
Factor Arrows
26,725,496
Factor Arrows
23,362,748
Factor Arrows
21,681,374
Factor Arrows
2840,687
Factor Arrows
3280,229

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, 280229

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 280,229 = 13,450,992

This can also be written as 24 x 31 x 280,2291 = 13,450,992

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


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