Q: What are the prime factors of the number 31,741,928?

 A: 2, 3967741

Why are those the prime factors of the number 31,741,928?

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 31,741,928

31,741,928
Factor Arrows
215,870,964
Factor Arrows
27,935,482
Factor Arrows
23,967,741

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, 3967741

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3,967,741 = 31,741,928

This can also be written as 23 x 3,967,7411 = 31,741,928

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


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