Q: What are the prime factors of the number 210,020,129?

 A: 11, 19, 83, 12107

Why are those the prime factors of the number 210,020,129?

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 210,020,129

210,020,129
Factor Arrows
1119,092,739
Factor Arrows
191,004,881
Factor Arrows
8312,107

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:

11, 19, 83, 12107

We can check our work by multiplying all of the prime factors together: 11 x 19 x 83 x 12,107 = 210,020,129

This can also be written as 111 x 191 x 831 x 12,1071 = 210,020,129

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


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