﻿ Find the largest integer n for which 35! Is divisible by 3n. : Kaysons Education

# Find The Largest Integer N For Which 35! Is Divisible By 3n.

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## Question

### Solution

Correct option is

15

Let E(m) denote the exponent of 3 divides m. Then

.

∴Largest value of n such that 3n divides 35! is 15.

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