Q: What are the prime factors of the number 14,987,970?

 A: 2, 3, 5, 55511

Why are those the prime factors of the number 14,987,970?

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 14,987,970

14,987,970
Factor Arrows
27,493,985
Factor Arrows
32,497,995
Factor Arrows
3832,665
Factor Arrows
3277,555
Factor Arrows
555,511

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, 5, 55511

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 55,511 = 14,987,970

This can also be written as 21 x 33 x 51 x 55,5111 = 14,987,970

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


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