Q: What are the prime factors of the number 204,335,415?

 A: 3, 5, 31, 146477

Why are those the prime factors of the number 204,335,415?

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 204,335,415

204,335,415
Factor Arrows
368,111,805
Factor Arrows
322,703,935
Factor Arrows
54,540,787
Factor Arrows
31146,477

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:

3, 5, 31, 146477

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 31 x 146,477 = 204,335,415

This can also be written as 32 x 51 x 311 x 146,4771 = 204,335,415

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


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