Q: What are the prime factors of the number 925,596?

 A: 2, 3, 7, 3673

Why are those the prime factors of the number 925,596?

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 925,596

925,596
Factor Arrows
2462,798
Factor Arrows
2231,399
Factor Arrows
377,133
Factor Arrows
325,711
Factor Arrows
73,673

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, 3, 7, 3673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 3,673 = 925,596

This can also be written as 22 x 32 x 71 x 3,6731 = 925,596

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


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