Q: What are the prime factors of the number 202,661,020?

 A: 2, 5, 1069, 9479

Why are those the prime factors of the number 202,661,020?

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 202,661,020

202,661,020
Factor Arrows
2101,330,510
Factor Arrows
250,665,255
Factor Arrows
510,133,051
Factor Arrows
1,0699,479

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, 5, 1069, 9479

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 1,069 x 9,479 = 202,661,020

This can also be written as 22 x 51 x 1,0691 x 9,4791 = 202,661,020

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


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