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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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Most recent collections
Advent calendar 2023
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List of all puzzles
Tags
products
sequences
ave
even numbers
doubling
range
proportion
albgebra
dominos
integration
multiples
sets
addition
bases
cubics
crossnumbers
palindromes
determinants
geometry
chalkdust crossnumber
complex numbers
crossnumber
crosswords
cryptic crossnumbers
axes
rectangles
dodecagons
digital clocks
cube numbers
grids
expansions
routes
shapes
books
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squares
sport
number
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rugby
people maths
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pentagons
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triangle numbers
volume
probability
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averages
gerrymandering
geometric mean
graphs
folding tube maps
means
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coins
taxicab geometry
elections
integers
perimeter
square numbers
consecutive integers
ellipses
pascal's triangle
odd numbers
floors
dice
trigonometry
decahedra
cryptic clues
christmas
quadrilaterals
matrices
surds
the only crossnumber
polynomials
wordplay
differentiation
time
square roots
polygons
calculus
coordinates
shape
percentages
dates
perfect numbers
combinatorics
clocks
sum to infinity
digital products
algebra
factorials
tiling
lines
quadratics
triangles
chocolate
games
tournaments
regular shapes
chess
planes
colouring
scales
money
balancing
median
prime numbers
star numbers
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indices
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division
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