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BdMO 2020 Higher Secondary Preliminary P6
Posted: Fri Feb 26, 2021 11:32 am
by saifmd
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।
Re: BdMO 2020 Higher Secondary Preliminary P6
Posted: Mon Mar 01, 2021 4:02 pm
by Anindya Biswas
$2020=2^2\cdot5\cdot101$
So, $n=101$
Re: BdMO 2020 Higher Secondary Preliminary P6
Posted: Tue Mar 02, 2021 12:12 am
by Mehrab4226
Anindya Biswas wrote: ↑Mon Mar 01, 2021 4:02 pm
$2020=2^2\cdot5\cdot101$
So, $n=101$
Probably the shortest solution, I have ever seen.
Re: BdMO 2020 Higher Secondary Preliminary P6
Posted: Thu Mar 04, 2021 12:24 pm
by saifmd
Anindya Biswas wrote: ↑Mon Mar 01, 2021 4:02 pm
$2020=2^2\cdot5\cdot101$
So, $n=101$
A wonderful solution! Thanks a lot.