Q: What are the prime factors of the number 210,445,254?

 A: 2, 3, 19, 615337

Why are those the prime factors of the number 210,445,254?

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 210,445,254

210,445,254
Factor Arrows
2105,222,627
Factor Arrows
335,074,209
Factor Arrows
311,691,403
Factor Arrows
19615,337

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, 3, 19, 615337

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 19 x 615,337 = 210,445,254

This can also be written as 21 x 32 x 191 x 615,3371 = 210,445,254

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


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