AP EAMCET · Maths · Permutation Combination
The numbers of positive even divisors of 6300 is
- A 30
- B 24
- C 18
- D 36
Answer & Solution
Correct Answer
(D) 36
Step-by-step Solution
Detailed explanation
\(\because 6300=2^2 \times 3^2 \times 5^2 \times 1\) No. of divisors \(=(2+1)(2+1)(2+1)(1+1)=54\) No. of odd divisors \(=(2+1)(2+1)(1+1)=18\) \(\therefore\) No. of even divisors \(=54-18=36\)
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