Q: What are the prime factors of the number 121,215,125?

 A: 5, 969721

Why are those the prime factors of the number 121,215,125?

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 121,215,125

121,215,125
Factor Arrows
524,243,025
Factor Arrows
54,848,605
Factor Arrows
5969,721

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, 969721

We can check our work by multiplying all of the prime factors together: 5 x 5 x 5 x 969,721 = 121,215,125

This can also be written as 53 x 969,7211 = 121,215,125

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


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