What is the largest power of 2 that divides $200!/100!$.
5206
Highest power of a prime $p$ dividing $N!$
90381
Concecutive last zeroes in expansion of $100!$
141088
Proof : $2^{n-1}\mid n!$ if and only if $n$ is a power of $2$.
110261
Value of $ \cos 52^{\circ} + \cos 68^{\circ} + \cos 172^{\circ} $?
27560
How many zeroes are in 100!
123544
Show that $n = 3^{100} + 2$ is not a prime number.
112599
What is the smallest value of n such that an algorithm running at 100*n^2 operates faster than 2^n ? [How to figure out without brute force]
139173
To find last two digits of $2^{100}$
64592
The last two digits of $9^{9^9}$
97972
Which is the largest power of natural number that can be evaluated by computers?
136832
Is 128 the only multi-digit power of 2 such that each of its digits is also a power of 2?
10191
Binomial theorem: divisibility by $n^2$
99243
What is the remainder when $24^{1202}$ is divided by $1446$?
2944
How many triples $(x,y,n)$ are there such that $x^n - y^n = 2^{100}$
130653
$p^2$ divides $ab$ and $\gcd(a,b)=1$. Show $p^2$ divides $a$ or $p^2$ divides $b$
23270
The sum of powers of two and two's complement – is there a deeper meaning behind this?
156956
Give the remainder of $x^{100}$ divided by $(x-2)(x-1)$.