Q: What are the prime factors of the number 14,773,644?

 A: 2, 3, 29, 53, 89

Why are those the prime factors of the number 14,773,644?

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 14,773,644

14,773,644
Factor Arrows
27,386,822
Factor Arrows
23,693,411
Factor Arrows
31,231,137
Factor Arrows
3410,379
Factor Arrows
3136,793
Factor Arrows
294,717
Factor Arrows
5389

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, 29, 53, 89

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 29 x 53 x 89 = 14,773,644

This can also be written as 22 x 33 x 291 x 531 x 891 = 14,773,644

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


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