Q: What are the prime factors of the number 121,015,134?

 A: 2, 3, 31, 24097

Why are those the prime factors of the number 121,015,134?

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 121,015,134

121,015,134
Factor Arrows
260,507,567
Factor Arrows
320,169,189
Factor Arrows
36,723,063
Factor Arrows
32,241,021
Factor Arrows
3747,007
Factor Arrows
3124,097

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, 31, 24097

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 31 x 24,097 = 121,015,134

This can also be written as 21 x 34 x 311 x 24,0971 = 121,015,134

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


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