Find the smallest positive integer n such that n! is divisible by 2020 without any remainders.
সবচেয়ে ছোট ধনাত্মক পূর্ণসংখ্যা নির্ণয় কর 2020 দ্বারা n! নিঃশেষে বিভাজ্য হয়।
BdMO 2020 Higher Secondary Preliminary P6
- Anindya Biswas
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Re: BdMO 2020 Higher Secondary Preliminary P6
$2020=2^2\cdot5\cdot101$
So, $n=101$
So, $n=101$
"If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is."
— John von Neumann
— John von Neumann
- Mehrab4226
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Re: BdMO 2020 Higher Secondary Preliminary P6
Probably the shortest solution, I have ever seen.
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
-Henri Poincaré
-Henri Poincaré
Re: BdMO 2020 Higher Secondary Preliminary P6
A wonderful solution! Thanks a lot.