Q: What are the prime factors of the number 14,987,972?

 A: 2, 131, 28603

Why are those the prime factors of the number 14,987,972?

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 14,987,972

14,987,972
Factor Arrows
27,493,986
Factor Arrows
23,746,993
Factor Arrows
13128,603

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, 131, 28603

We can check our work by multiplying all of the prime factors together: 2 x 2 x 131 x 28,603 = 14,987,972

This can also be written as 22 x 1311 x 28,6031 = 14,987,972

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


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