Q: What are the prime factors of the number 24,200,883?

 A: 3, 7, 128047

Why are those the prime factors of the number 24,200,883?

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 24,200,883

24,200,883
Factor Arrows
38,066,961
Factor Arrows
32,688,987
Factor Arrows
3896,329
Factor Arrows
7128,047

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:

3, 7, 128047

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 128,047 = 24,200,883

This can also be written as 33 x 71 x 128,0471 = 24,200,883

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


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