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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
differentiation
pascal's triangle
albgebra
parabolas
probabilty
doubling
xor
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angles
palindromes
medians
quadrilaterals
people maths
probability
axes
even numbers
the only crossnumber
cube numbers
routes
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rectangles
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folding tube maps
chalkdust crossnumber
regular shapes
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planes
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cryptic crossnumbers
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rugby
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sets
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scales
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number
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star numbers
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symmetry
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factors
floors
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tiling
dominos
geometric mean
remainders
numbers
crossnumbers
geometric means
functions
pentagons
perfect numbers
square grids
cards
means
consecutive numbers
sport
integration
fractions
arrows
calculus
sum to infinity
books
money
polynomials
square numbers
2d shapes
unit fractions
cubics
dodecagons
grids
volume
algebra
surds
prime numbers
dice
decahedra
chess
speed
geometry
proportion
products
clocks
partitions
sums
square roots
combinatorics
mean
advent
cryptic clues
chocolate
shapes
odd numbers
triangles
indices
addition
determinants
digital products
area
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median
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binary
multiples
taxicab geometry
squares
polygons
coins
integers
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ave
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lines
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