Q: What are the prime factors of the number 125,040,051?

 A: 3, 1697, 2729

Why are those the prime factors of the number 125,040,051?

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 125,040,051

125,040,051
Factor Arrows
341,680,017
Factor Arrows
313,893,339
Factor Arrows
34,631,113
Factor Arrows
1,6972,729

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, 1697, 2729

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 1,697 x 2,729 = 125,040,051

This can also be written as 33 x 1,6971 x 2,7291 = 125,040,051

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


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