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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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chess
cryptic crossnumbers
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polygons
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addition
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colouring
odd numbers
clocks
logic
range
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grids
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graphs
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menace
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ellipses
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spheres
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xor
squares
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arrows
ave
lines
3d shapes
taxicab geometry
determinants
gerrymandering
digital clocks
prime factors
chalkdust crossnumber
integers
surds
square roots
sets
regular shapes
triangle numbers
neighbours
even numbers
calculus
books
dice
square numbers
pascal's triangle
bases
area
people maths
elections
planes
crossnumbers
speed
prime numbers
2d shapes
complex numbers
cube numbers
multiplication
multiplaction squares
symmetry
factorials
perfect numbers
advent
cryptic clues
folding tube maps
parabolas
consecutive integers
decahedra
binary
tiling
digits
coins
rectangles
expansions
combinatorics
coordinates
integration
floors
cubics
angles
time
indices
matrices
tournaments
digital products
geometry
products
axes
volume
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rugby
polynomials
tangents
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dominos
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