Q: What are the prime factors of the number 121,434,104?

 A: 2, 11, 227, 6079

Why are those the prime factors of the number 121,434,104?

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 121,434,104

121,434,104
Factor Arrows
260,717,052
Factor Arrows
230,358,526
Factor Arrows
215,179,263
Factor Arrows
111,379,933
Factor Arrows
2276,079

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, 11, 227, 6079

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 227 x 6,079 = 121,434,104

This can also be written as 23 x 111 x 2271 x 6,0791 = 121,434,104

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


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