Q: What are the prime factors of the number 121,032,117?

 A: 3, 1063, 4217

Why are those the prime factors of the number 121,032,117?

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 121,032,117

121,032,117
Factor Arrows
340,344,039
Factor Arrows
313,448,013
Factor Arrows
34,482,671
Factor Arrows
1,0634,217

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:

3, 1063, 4217

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 1,063 x 4,217 = 121,032,117

This can also be written as 33 x 1,0631 x 4,2171 = 121,032,117

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


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