Q: What are the prime factors of the number 2,321,728?

 A: 2, 36277

Why are those the prime factors of the number 2,321,728?

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 2,321,728

2,321,728
Factor Arrows
21,160,864
Factor Arrows
2580,432
Factor Arrows
2290,216
Factor Arrows
2145,108
Factor Arrows
272,554
Factor Arrows
236,277

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, 36277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 36,277 = 2,321,728

This can also be written as 26 x 36,2771 = 2,321,728

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


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