Q: What are the prime factors of the number 205,547,088?

 A: 2, 3, 4282231

Why are those the prime factors of the number 205,547,088?

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 205,547,088

205,547,088
Factor Arrows
2102,773,544
Factor Arrows
251,386,772
Factor Arrows
225,693,386
Factor Arrows
212,846,693
Factor Arrows
34,282,231

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, 4282231

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 4,282,231 = 205,547,088

This can also be written as 24 x 31 x 4,282,2311 = 205,547,088

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


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