Q: What are the prime factors of the number 202,322,008?

 A: 2, 7, 3612893

Why are those the prime factors of the number 202,322,008?

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 202,322,008

202,322,008
Factor Arrows
2101,161,004
Factor Arrows
250,580,502
Factor Arrows
225,290,251
Factor Arrows
73,612,893

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, 7, 3612893

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 3,612,893 = 202,322,008

This can also be written as 23 x 71 x 3,612,8931 = 202,322,008

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


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