Q: What are the prime factors of the number 2,372,328?

 A: 2, 3, 7, 523

Why are those the prime factors of the number 2,372,328?

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 2,372,328

2,372,328
Factor Arrows
21,186,164
Factor Arrows
2593,082
Factor Arrows
2296,541
Factor Arrows
398,847
Factor Arrows
332,949
Factor Arrows
310,983
Factor Arrows
33,661
Factor Arrows
7523

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, 523

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 523 = 2,372,328

This can also be written as 23 x 34 x 71 x 5231 = 2,372,328

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


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