Q: What are the prime factors of the number 14,213,232?

 A: 2, 3, 11, 997

Why are those the prime factors of the number 14,213,232?

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 14,213,232

14,213,232
Factor Arrows
27,106,616
Factor Arrows
23,553,308
Factor Arrows
21,776,654
Factor Arrows
2888,327
Factor Arrows
3296,109
Factor Arrows
398,703
Factor Arrows
332,901
Factor Arrows
310,967
Factor Arrows
11997

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, 11, 997

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 3 x 3 x 11 x 997 = 14,213,232

This can also be written as 24 x 34 x 111 x 9971 = 14,213,232

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


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