664 in base 12 is the palindrome 474. Note that 4(144) + 7(12) + 4(1)= 664.

Print the puzzles or type the solution on this excel file: 10 Factors 2015-10-26

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- 664 is a composite number.
- Prime factorization: 664 = 2 x 2 x 2 x 83, which can be written 664 = (2^3) x 83
- The exponents in the prime factorization are 3 and 1. Adding one to each and multiplying we get (3 + 1)(1 + 1) = 4 x 2 = 8. Therefore 664 has exactly 8 factors.
- Factors of 664: 1, 2, 4, 8, 83, 166, 332, 664
- Factor pairs: 664 = 1 x 664, 2 x 332, 4 x 166, or 8 x 83
- Taking the factor pair with the largest square number factor, we get √664 = (√4)(√166) = 2√166 ≈ 25.768197.

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Ricardo tweeted the solution:

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```@findthefactors cat’s head is a bit tricky. It required to me 40 minutes, I did some errors at the begin. pic.twitter.com/IpbGQcuLiC

— riccardo (@ricca9380) November 1, 2015