Q: What are the prime factors of the number 2,023,752?

 A: 2, 3, 37, 43, 53

Why are those the prime factors of the number 2,023,752?

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 2,023,752

2,023,752
Factor Arrows
21,011,876
Factor Arrows
2505,938
Factor Arrows
2252,969
Factor Arrows
384,323
Factor Arrows
372,279
Factor Arrows
4353

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, 37, 43, 53

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 37 x 43 x 53 = 2,023,752

This can also be written as 23 x 31 x 371 x 431 x 531 = 2,023,752

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


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