Q: What are the prime factors of the number 14,423,312?

 A: 2, 901457

Why are those the prime factors of the number 14,423,312?

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 14,423,312

14,423,312
Factor Arrows
27,211,656
Factor Arrows
23,605,828
Factor Arrows
21,802,914
Factor Arrows
2901,457

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, 901457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 901,457 = 14,423,312

This can also be written as 24 x 901,4571 = 14,423,312

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


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