Q: What are the prime factors of the number 14,501,177?

 A: 113, 181, 709

Why are those the prime factors of the number 14,501,177?

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 14,501,177

14,501,177
Factor Arrows
113128,329
Factor Arrows
181709

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:

113, 181, 709

We can check our work by multiplying all of the prime factors together: 113 x 181 x 709 = 14,501,177

This can also be written as 1131 x 1811 x 7091 = 14,501,177

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


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