Question

How do you create a factor tree for 204?

Answer 1

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Answer 2

204 is a composite number.

Prime factorization: 204 = 2 × 2 × 3 × 17, which can be written 204 = 2² × 3 × 17

The exponents in the prime factorization are 2, 1, and 1. Adding one to each and multiplying we get (2 + 1)(1 + 1)(1 + 1) = 3 x 2 x 2 = 12. Therefore 204 has exactly 12 factors.

Factors of 204: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Factor pairs: 204 = 1 x 204, 2 x 102, 3 x 68, 4 x 51, 6 x 34, or 12 x 17