Q: What are the prime factors of the number 121,034,112?

 A: 2, 3, 315193

Why are those the prime factors of the number 121,034,112?

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 121,034,112

121,034,112
Factor Arrows
260,517,056
Factor Arrows
230,258,528
Factor Arrows
215,129,264
Factor Arrows
27,564,632
Factor Arrows
23,782,316
Factor Arrows
21,891,158
Factor Arrows
2945,579
Factor Arrows
3315,193

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, 315193

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 315,193 = 121,034,112

This can also be written as 27 x 31 x 315,1931 = 121,034,112

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


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