# Resources tagged with: Factorials

### There are 8 results

Broad Topics >

Properties of Numbers > Factorials

##### Age 14 to 16

Challenge Level

Consider numbers of the form un = 1! + 2! + 3! +...+n!. How many such numbers are perfect squares?

##### Age 14 to 16

Challenge Level

Lyndon chose this as one of his favourite problems. It is
accessible but needs some careful analysis of what is included and
what is not. A systematic approach is really helpful.

##### Age 11 to 14

Challenge Level

6! = 6 x 5 x 4 x 3 x 2 x 1. The highest power of 2 that divides
exactly into 6! is 4 since (6!) / (2^4 ) = 45. What is the highest
power of two that divides exactly into 100!?

##### Age 14 to 16

Challenge Level

How many zeros are there at the end of the number which is the
product of first hundred positive integers?

##### Age 11 to 14

Challenge Level

Find the highest power of 11 that will divide into 1000! exactly.

##### Age 14 to 16

Challenge Level

How many noughts are at the end of these giant numbers?

##### Age 11 to 14

Challenge Level

I have forgotten the number of the combination of the lock on my
briefcase. I did have a method for remembering it...

##### Age 14 to 18

An introduction to the binomial coefficient, and exploration of some of the formulae it satisfies.