Q: What are the prime factors of the number 925,928?

 A: 2, 115741

Why are those the prime factors of the number 925,928?

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 925,928

925,928
Factor Arrows
2462,964
Factor Arrows
2231,482
Factor Arrows
2115,741

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, 115741

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 115,741 = 925,928

This can also be written as 23 x 115,7411 = 925,928

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


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