Q: What are the prime factors of the number 14,113,015?

 A: 5, 7, 97, 4157

Why are those the prime factors of the number 14,113,015?

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 14,113,015

14,113,015
Factor Arrows
52,822,603
Factor Arrows
7403,229
Factor Arrows
974,157

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:

5, 7, 97, 4157

We can check our work by multiplying all of the prime factors together: 5 x 7 x 97 x 4,157 = 14,113,015

This can also be written as 51 x 71 x 971 x 4,1571 = 14,113,015

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


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