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IPMAT Indore 2019

Number System

>

Factorisation

Easy

The maximum value of the natural number $n$ for which $21^n$ divides $50!$ is

6

7

8

9

✅ Correct Option: 3

Related questions:

IPMAT Indore 2021

The number of positive integers that divide

(1890) \cdot (130) \cdot (170)

and are not divisible by

45

IPMAT Indore 2022

If one of the factors of the number

3^{7} 2^{8} 17^{3}

is randomly chosen, then the probability that the chosen factor will be a perfect square is

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The number of factors of 1800 that are multiple of 6 is: