Resources tagged with: Factorials

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There are 8 results

Broad Topics > Properties of Numbers > Factorials

Squaresearch

Age 14 to 16Challenge Level

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

Fac-finding

Age 14 to 16Challenge 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.

Powerful Factorial

Age 11 to 14Challenge 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!?

Factorial

Age 14 to 16Challenge Level

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

Factoring Factorials

Age 11 to 14Challenge Level

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

N000ughty Thoughts

Age 14 to 16Challenge Level

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

Forgotten Number

Age 11 to 14Challenge Level

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

Binomial Coefficients

Age 14 to 18

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