Three people chose this as a favourite problem. It is the sort of
problem that needs thinking time - but once the connection is made
it gives access to many similar ideas.
Which of these five algebraic expressions is largest, given $x$ is between 0 and 1?
Two in a Million
Age 14 to 16 Short Challenge Level
Answer: $2^6$
$2$ is a factor of $10$, and $1000000=10^6$
$=(2\times5)^6$
$=2^6\times5^6$
$=2^6\times$ an odd number
So the highest power of $2$ that divides $1000000$ is $2^6$