Q: What are the prime factors of the number 11,506,014?

 A: 2, 3, 13, 49171

Why are those the prime factors of the number 11,506,014?

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 11,506,014

11,506,014
Factor Arrows
25,753,007
Factor Arrows
31,917,669
Factor Arrows
3639,223
Factor Arrows
1349,171

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, 13, 49171

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 13 x 49,171 = 11,506,014

This can also be written as 21 x 32 x 131 x 49,1711 = 11,506,014

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


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