Q: What are the prime factors of the number 51,040,125?

 A: 3, 5, 71

Why are those the prime factors of the number 51,040,125?

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 51,040,125

51,040,125
Factor Arrows
317,013,375
Factor Arrows
35,671,125
Factor Arrows
31,890,375
Factor Arrows
3630,125
Factor Arrows
5126,025
Factor Arrows
525,205
Factor Arrows
55,041
Factor Arrows
7171

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, 5, 71

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 5 x 5 x 71 x 71 = 51,040,125

This can also be written as 34 x 53 x 712 = 51,040,125

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


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