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