Q: What are the prime factors of the number 39,150,825?

 A: 3, 5, 7, 74573

Why are those the prime factors of the number 39,150,825?

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 39,150,825

39,150,825
Factor Arrows
313,050,275
Factor Arrows
52,610,055
Factor Arrows
5522,011
Factor Arrows
774,573

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, 7, 74573

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 7 x 74,573 = 39,150,825

This can also be written as 31 x 52 x 71 x 74,5731 = 39,150,825

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


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