Q: What are the prime factors of the number 202,222,097?

 A: 7, 11, 271, 881

Why are those the prime factors of the number 202,222,097?

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 202,222,097

202,222,097
Factor Arrows
728,888,871
Factor Arrows
112,626,261
Factor Arrows
11238,751
Factor Arrows
271881

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:

7, 11, 271, 881

We can check our work by multiplying all of the prime factors together: 7 x 11 x 11 x 271 x 881 = 202,222,097

This can also be written as 71 x 112 x 2711 x 8811 = 202,222,097

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


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