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Resources tagged with Factorials similar to N000ughty Thoughts:

Other tags that relate to N000ughty Thoughts

Divisibility. Inequality/inequalities. Number - generally. Factorials. Combinatorics. Number theory. Mathematical reasoning & proof. Manipulating algebraic expressions/formulae. Factors and multiples. Making and proving conjectures.

There are 6 results

Broad Topics > Numbers and the Number System > Factorials

N000ughty Thoughts

Stage: 4 Challenge Level:

Factorial one hundred (written 100!) has 24 noughts when written in full and that 1000! has 249 noughts? Convince yourself that the above is true. Perhaps your methodology will help you find the. . . .

Factorial

Stage: 4 Challenge Level:

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

Factoring Factorials

Stage: 3 Challenge Level:

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

Fac-finding

Stage: 4 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.

Powerful Factorial

Stage: 3 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!?

Forgotten Number

Stage: 3 Challenge Level:

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