Q: What are the prime factors of the number 204,510?

 A: 2, 3, 5, 17, 401

Why are those the prime factors of the number 204,510?

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 204,510

204,510
Factor Arrows
2102,255
Factor Arrows
334,085
Factor Arrows
56,817
Factor Arrows
17401

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, 5, 17, 401

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 17 x 401 = 204,510

This can also be written as 21 x 31 x 51 x 171 x 4011 = 204,510

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


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