Q: What are the prime factors of the number 204,532,052?

 A: 2, 547, 93479

Why are those the prime factors of the number 204,532,052?

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 204,532,052

204,532,052
Factor Arrows
2102,266,026
Factor Arrows
251,133,013
Factor Arrows
54793,479

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, 547, 93479

We can check our work by multiplying all of the prime factors together: 2 x 2 x 547 x 93,479 = 204,532,052

This can also be written as 22 x 5471 x 93,4791 = 204,532,052

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


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