What is the smallest number with exactly 14 divisors?
Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?
If it takes four men one day to build a wall, how long does it take
60,000 men to build a similar wall?
A car's milometer reads $4631$ miles and the trip meter has
$173.3$ on it:
How many more miles must the car travel before the two numbers
contain the same digits in the same order?
Can you find some other starting numbers that will lead to
What is the relationship between two starting numbers that will
If the milometer and trip meters had the following exact
readings ($4632$ and $173.3$) then the two numbers will not contain
the same digits in the same order before the milometer reaches
$99999$ miles. Why is this?
If the milometer 'loops the clock' back to $00000$ again at
$100,000$ miles and the trip meter loops the clock back to $000.0$
at $1000$ miles, will the two numbers ever contain the same digits
in the same order?