Q: What are the prime factors of the number 52,915,125?

 A: 3, 5, 141107

Why are those the prime factors of the number 52,915,125?

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 52,915,125

52,915,125
Factor Arrows
317,638,375
Factor Arrows
53,527,675
Factor Arrows
5705,535
Factor Arrows
5141,107

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, 141107

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 5 x 141,107 = 52,915,125

This can also be written as 31 x 53 x 141,1071 = 52,915,125

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


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