Q: What are the prime factors of the number 129,793,428?

 A: 2, 3, 400597

Why are those the prime factors of the number 129,793,428?

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 129,793,428

129,793,428
Factor Arrows
264,896,714
Factor Arrows
232,448,357
Factor Arrows
310,816,119
Factor Arrows
33,605,373
Factor Arrows
31,201,791
Factor Arrows
3400,597

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, 400597

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 400,597 = 129,793,428

This can also be written as 22 x 34 x 400,5971 = 129,793,428

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


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