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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
Advent calendar 2022
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List of all puzzles
Tags
expansions
integers
chess
squares
axes
symmetry
determinants
digits
median
percentages
graphs
quadratics
means
ellipses
geometry
parabolas
probability
cubics
digital products
cube numbers
sum to infinity
partitions
dice
matrices
angles
crossnumber
cards
coins
balancing
square numbers
elections
combinatorics
integration
digital clocks
circles
cryptic crossnumbers
regular shapes
ave
shapes
multiples
polygons
dodecagons
irreducible numbers
christmas
speed
sums
taxicab geometry
sequences
rectangles
fractions
indices
bases
volume
triangle numbers
shape
remainders
books
perfect numbers
numbers
palindromes
sport
trigonometry
odd numbers
money
binary
spheres
polynomials
tangents
coordinates
pentagons
tiling
products
menace
dominos
addition
even numbers
tournaments
lines
complex numbers
advent
2d shapes
decahedra
mean
logic
probabilty
sets
algebra
differentiation
range
games
area
averages
chalkdust crossnumber
the only crossnumber
floors
crossnumbers
square roots
wordplay
functions
geometric means
triangles
albgebra
arrows
proportion
division
scales
geometric mean
calculus
consecutive integers
multiplication
time
dates
factors
routes
factorials
gerrymandering
3d shapes
star numbers
planes
surds
number
chocolate
grids
perimeter
rugby
clocks
colouring
hexagons
folding tube maps
consecutive numbers
crosswords
quadrilaterals
cryptic clues
doubling
prime numbers
pascal's triangle
unit fractions
people maths
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