Q: What are the prime factors of the number 202,222,024?

 A: 2, 1049, 24097

Why are those the prime factors of the number 202,222,024?

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 202,222,024

202,222,024
Factor Arrows
2101,111,012
Factor Arrows
250,555,506
Factor Arrows
225,277,753
Factor Arrows
1,04924,097

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, 1049, 24097

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 1,049 x 24,097 = 202,222,024

This can also be written as 23 x 1,0491 x 24,0971 = 202,222,024

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


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