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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
shape
prime factors
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indices
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the only crossnumber
3d shapes
sets
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chalkdust crossnumber
squares
taxicab geometry
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arrows
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circles
tiling
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books
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gerrymandering
digits
christmas
calculus
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coordinates
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lines
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volume
determinants
sport
wordplay
dice
chess
proportion
folding tube maps
cubics
dodecagons
binary
probability
scales
bases
prime numbers
products
angles
floors
advent
triangle numbers
range
numbers
ave
cube numbers
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geometry
balancing
parabolas
money
division
matrices
consecutive numbers
perimeter
coins
tangents
neighbours
trigonometry
tournaments
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probabilty
sum to infinity
pentagons
albgebra
powers
odd numbers
pascal's triangle
doubling
square numbers
lists
time
complex numbers
perfect numbers
factors
clocks
integration
people maths
polygons
digital clocks
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star numbers
unit fractions
mean
square roots
differentiation
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graphs
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factorials
multiples
quadrilaterals
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