TS EAMCET · Maths · Permutation Combination
The number of proper divisors of the number obtained by dividing 13 ! with 100 is
- A 216
- B 430
- C 214
- D 790
Answer & Solution
Correct Answer
(B) 430
Step-by-step Solution
Detailed explanation
\[ 13 !=2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10 \times 11 \times 12 \times 13 \] 13 ! is divided by 100 Then, \(\frac{13 !}{100}=2^8 \times 3^5 \times 7^1 \times 11^1 \times 13^1\) The number of proper divisor at the number obtained is…
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