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Which of the following is the minimum value of the sum of two integers whose product is 36?

  • A.37
  • B.20
  • C.15
  • D.12

Answer: D

List all possible factors xx and yy whose product is 36, and calculate the corresponding sum x+yx+y:

xx yy x×yx×y x+yx+y
1 36 36 37
2 18 36 20
3 12 36 15
4 9 36 13
5 6 36 12

From the table, the minimum sum is 12

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