Q: What are the prime factors of the number 14,688,992?

 A: 2, 459031

Why are those the prime factors of the number 14,688,992?

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 14,688,992

14,688,992
Factor Arrows
27,344,496
Factor Arrows
23,672,248
Factor Arrows
21,836,124
Factor Arrows
2918,062
Factor Arrows
2459,031

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, 459031

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 459,031 = 14,688,992

This can also be written as 25 x 459,0311 = 14,688,992

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


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