Q: What are the prime factors of the number 121,013,327?

 A: 17, 23, 173, 1789

Why are those the prime factors of the number 121,013,327?

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 121,013,327

121,013,327
Factor Arrows
177,118,431
Factor Arrows
23309,497
Factor Arrows
1731,789

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:

17, 23, 173, 1789

We can check our work by multiplying all of the prime factors together: 17 x 23 x 173 x 1,789 = 121,013,327

This can also be written as 171 x 231 x 1731 x 1,7891 = 121,013,327

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


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