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?
In the equation $\frac{E\times I\times G\times H\times T } {F\times O\times U\times R }= T\times W\times O$ . The same letter stands for the same digit and different letters stand for different digits. What is the value of the product $T\times H\times R\times E\times E$? If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.