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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 2024
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List of all puzzles
Tags
even numbers
neighbours
spheres
mean
medians
perfect numbers
2d shapes
factorials
logic
averages
addition
powers
crossnumbers
irreducible numbers
regular shapes
grids
decahedra
tangents
angles
multiples
sport
integers
cube numbers
geometric mean
probabilty
numbers
square grids
complex numbers
palindromes
symmetry
multiplication
geometry
squares
remainders
partitions
planes
floors
number
chalkdust crossnumber
dates
median
percentages
cryptic crossnumbers
means
polygons
combinatorics
cryptic clues
square numbers
ave
algebra
star numbers
bases
games
gerrymandering
people maths
shapes
scales
wordplay
christmas
digital products
chocolate
digital clocks
matrices
hexagons
elections
division
coordinates
pascal's triangle
area
crosswords
parabolas
dodecagons
clocks
unit fractions
consecutive integers
triangle numbers
dominos
rectangles
functions
chess
tiling
sum to infinity
advent
the only crossnumber
products
triangles
axes
menace
binary
calculus
doubling
speed
crossnumber
colouring
lines
proportion
cards
rugby
graphs
digits
consecutive numbers
fractions
cubics
volume
numbers grids
taxicab geometry
prime numbers
polynomials
integration
probability
surds
time
odd numbers
trigonometry
routes
indices
shape
factors
sets
folding tube maps
geometric means
quadratics
square roots
quadrilaterals
range
arrows
balancing
ellipses
expansions
determinants
circles
money
albgebra
perimeter
books
3d shapes
sums
tournaments
sequences
pentagons
differentiation
coins
dice
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