Q: What are the prime factors of the number 14,011,207?

 A: 7, 40849

Why are those the prime factors of the number 14,011,207?

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 14,011,207

14,011,207
Factor Arrows
72,001,601
Factor Arrows
7285,943
Factor Arrows
740,849

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:

7, 40849

We can check our work by multiplying all of the prime factors together: 7 x 7 x 7 x 40,849 = 14,011,207

This can also be written as 73 x 40,8491 = 14,011,207

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


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