Q: What are the prime factors of the number 14,750,118?

 A: 2, 3, 17, 19, 43, 59

Why are those the prime factors of the number 14,750,118?

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 14,750,118

14,750,118
Factor Arrows
27,375,059
Factor Arrows
32,458,353
Factor Arrows
3819,451
Factor Arrows
1748,203
Factor Arrows
192,537
Factor Arrows
4359

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, 17, 19, 43, 59

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 17 x 19 x 43 x 59 = 14,750,118

This can also be written as 21 x 32 x 171 x 191 x 431 x 591 = 14,750,118

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


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