You may also like

problem icon

14 Divisors

What is the smallest number with exactly 14 divisors?

problem icon

Repeaters

Choose any 3 digits and make a 6 digit number by repeating the 3 digits in the same order (e.g. 594594). Explain why whatever digits you choose the number will always be divisible by 7, 11 and 13.

problem icon

Oh! Hidden Inside?

Find the number which has 8 divisors, such that the product of the divisors is 331776.

Weekly Problem 25 - 2011

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Some students (fewer than $100$) are having trouble lining up  for a school production.
 

When they line up in $3$s, two people are left over.
When they line up in $4$s, three people are left over.
When they line up in $5$s, four people are left over.
When they line up in $6$s, five people are left over. 
 
How many students are there in the group?

 
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.

View the previous week's solution
View the current weekly problem