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