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Find the prime factorization 204

2 Answers

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{2}^(2) * 3 * 17
User Delirium
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4 votes

Break it down in pieces.

204: What 2 numbers can you multiply to get 204? (it is an even number, so we know it is divisible by 2) 204 = 2 x 1022 is prime so let's factor 102

102: What 2 numbers can you multiply to get 102? (it is an even number, so we know it is divisible by 2) 102 = 2 x 512 is prime so let's factor 51

51: What 2 numbers can you multiply to get 51? 51= 3 x 17both 3 and 17 are prime so we are done!

Answer: 2 x 2 x 3 x 17 = 2² · 3 · 17


User Charly
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