Q: What are the prime factors of the number 210,400,205?

 A: 5, 19, 23, 96293

Why are those the prime factors of the number 210,400,205?

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 210,400,205

210,400,205
Factor Arrows
542,080,041
Factor Arrows
192,214,739
Factor Arrows
2396,293

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:

5, 19, 23, 96293

We can check our work by multiplying all of the prime factors together: 5 x 19 x 23 x 96,293 = 210,400,205

This can also be written as 51 x 191 x 231 x 96,2931 = 210,400,205

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


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