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