Q: What are the prime factors of the number 2,203,328?

 A: 2, 173, 199

Why are those the prime factors of the number 2,203,328?

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 2,203,328

2,203,328
Factor Arrows
21,101,664
Factor Arrows
2550,832
Factor Arrows
2275,416
Factor Arrows
2137,708
Factor Arrows
268,854
Factor Arrows
234,427
Factor Arrows
173199

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, 173, 199

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 173 x 199 = 2,203,328

This can also be written as 26 x 1731 x 1991 = 2,203,328

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


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