Q: What are the prime factors of the number 202,031,030?

 A: 2, 5, 31, 21023

Why are those the prime factors of the number 202,031,030?

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 202,031,030

202,031,030
Factor Arrows
2101,015,515
Factor Arrows
520,203,103
Factor Arrows
31651,713
Factor Arrows
3121,023

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, 31, 21023

We can check our work by multiplying all of the prime factors together: 2 x 5 x 31 x 31 x 21,023 = 202,031,030

This can also be written as 21 x 51 x 312 x 21,0231 = 202,031,030

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


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