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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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Advent calendar 2025
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List of all puzzles
Tags
area
regular shapes
sequences
addition
advent
multiplication
differentiation
unit fractions
lists
probabilty
rugby
sum to infinity
square grids
circles
quadrilaterals
albgebra
powers
tiling
graphs
tangents
integration
even numbers
hexagons
wordplay
dominos
dodecagons
spheres
range
crosswords
division
triangle numbers
christmas
pascal's triangle
xor
games
digital products
determinants
consecutive integers
logic
number
balancing
squares
square numbers
cube numbers
menace
floors
trigonometry
mean
percentages
geometric mean
sets
chess
crossnumbers
factors
polynomials
books
arrows
perimeter
remainders
partitions
lines
cubics
geometry
2d shapes
colouring
planes
ellipses
surds
quadratics
probability
triangles
shapes
speed
parabolas
digital clocks
ave
shape
numbers
coins
doubling
multiplaction squares
grids
square roots
gerrymandering
angles
dice
money
odd numbers
polygons
tournaments
cryptic crossnumbers
rectangles
cards
pentagons
bases
products
people maths
median
means
matrices
elections
neighbours
perfect numbers
geometric means
time
scales
prime factors
dates
taxicab geometry
the only crossnumber
integers
proportion
expansions
factorials
combinatorics
sport
routes
symmetry
folding tube maps
algebra
axes
3d shapes
binary
chocolate
indices
multiples
decahedra
averages
digits
medians
fractions
prime numbers
clocks
calculus
sums
consecutive numbers
star numbers
palindromes
complex numbers
chalkdust crossnumber
cryptic clues
volume
functions
irreducible numbers
coordinates
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