Question : How many positive factors of 36 are there?
Option 1: 1
Option 2: 3
Option 3: 9
Option 4: 12
Correct Answer: 9
Solution : 36 = 2 2 × 3 2 If N = a m × b n , where a and b are prime numbers, then the number of positive factors of N = (m+1) × (n+1) The positive factors of 36 = 3 × 3 = 9 So, there are a total of 9 positive factors of 36. Hence, the correct answer is 9.
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