Q: What are the prime factors of the number 210,402,107?

 A: 197, 419, 2549

Why are those the prime factors of the number 210,402,107?

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 210,402,107

210,402,107
Factor Arrows
1971,068,031
Factor Arrows
4192,549

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:

197, 419, 2549

We can check our work by multiplying all of the prime factors together: 197 x 419 x 2,549 = 210,402,107

This can also be written as 1971 x 4191 x 2,5491 = 210,402,107

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


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