KaylaFarez KaylaFarez
  • 25-10-2020
  • Mathematics
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What is the sum of the proper factors of 132

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sqdancefan
sqdancefan sqdancefan
  • 11-04-2021

9514 1404 393

Answer:

  203

Step-by-step explanation:

The prime factorization is ...

  132 = 2·2·3·11

The exponents of these factors are 2, 1, 1, so the number of divisors is ...

  (2+1)(1+1)(1+1) = 12

Those divisors are ...

  1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

The proper factors are all but the first and last of these. Their sum is ...

  2 +3 +4 +6 +11 +12 +22 +33 +44 +66 = 203

The sum of proper factors of 132 is 203.

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