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