Q: What are the prime factors of the number 24,200,231?

 A: 11, 17, 127, 1019

Why are those the prime factors of the number 24,200,231?

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 24,200,231

24,200,231
Factor Arrows
112,200,021
Factor Arrows
17129,413
Factor Arrows
1271,019

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:

11, 17, 127, 1019

We can check our work by multiplying all of the prime factors together: 11 x 17 x 127 x 1,019 = 24,200,231

This can also be written as 111 x 171 x 1271 x 1,0191 = 24,200,231

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


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