The number of (a,b,c), where a, b, c are positive integers such that abc=30 is
- A. 30
- B. 27 ✓
- C. 9
- D. 8
Correct Answer: B. 27
Explanation
Prime factorization of 30 = 2^1 \times 3^1 \times 5^1. Each of the 3 prime factors can be assigned to either a, b, or c independently. Thus, there are 3 \times 3 \times 3 = 27 ways to form the product.
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