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Advent calendar 2018
11 December
All 2018 advent puzzles
~
More information
This puzzle is inspired by
a puzzle Woody showed me at MathsJam
.
Today's number is the number \(n\) such that $$\frac{216!\times215!\times214!\times...\times1!}{n!}$$ is a square number.
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By the same method as
this puzzle
, the answer is
108
.
Tags:
numbers
,
square numbers
,
factorials
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Tags
geometric means
people maths
prime numbers
differentiation
sum to infinity
folding tube maps
coordinates
star numbers
unit fractions
factors
volume
triangles
albgebra
time
grids
lists
multiples
bases
2d shapes
square numbers
dominos
square grids
probabilty
trigonometry
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even numbers
expansions
digital products
proportion
floors
polygons
functions
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shapes
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ave
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surds
cryptic clues
multiplication
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multiplaction squares
cards
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averages
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christmas
angles
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money
xor
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rugby
regular shapes
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pascal's triangle
graphs
number
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consecutive integers
geometry
cryptic crossnumbers
advent
cube numbers
wordplay
speed
palindromes
lines
the only crossnumber
tiling
tangents
triangle numbers
taxicab geometry
sport
determinants
powers
prime factors
colouring
chalkdust crossnumber
perfect numbers
crosswords
dice
median
parabolas
shape
ellipses
tournaments
irreducible numbers
addition
gerrymandering
polynomials
routes
decahedra
dodecagons
quadrilaterals
factorials
dates
mean
perimeter
sets
sums
products
crossnumbers
calculus
partitions
binary
indices
hexagons
quadratics
range
algebra
3d shapes
doubling
axes
elections
odd numbers
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integration
neighbours
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pentagons
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division
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