In the prime factorization of $37 !=2^{\alpha_2} \cdot 3^{\alpha_3} \cdot 5^{\alpha_5} \ldots…

In the prime factorization of $37 !=2^{\alpha_2} \cdot 3^{\alpha_3} \cdot 5^{\alpha_5} \ldots 37^{\alpha_{37}}$ the ratio $\alpha_3: \alpha_5=$
  1. $3: 5$
  2. $17: 8$
  3. $5: 3$
  4. $8: 21$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (25 Apr Shift 1)

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