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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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Archive
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Most recent collections
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
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List of all puzzles
Tags
multiples
area
people maths
parabolas
geometric mean
routes
numbers
even numbers
christmas
decahedra
division
sport
averages
time
means
squares
taxicab geometry
2d shapes
advent
indices
triangle numbers
folding tube maps
balancing
sums
dates
speed
grids
consecutive integers
sequences
rugby
integration
triangles
lines
complex numbers
3d shapes
expansions
dice
sets
tiling
shape
tangents
cubics
books
proportion
remainders
percentages
addition
albgebra
games
combinatorics
factors
doubling
crosswords
tournaments
irreducible numbers
angles
multiplication
coordinates
perfect numbers
chalkdust crossnumber
products
wordplay
shapes
determinants
binary
pascal's triangle
rectangles
ave
regular shapes
consecutive numbers
perimeter
polygons
cube numbers
pentagons
probabilty
factorials
number
money
dodecagons
chess
calculus
probability
crossnumbers
graphs
quadratics
dominos
floors
coins
algebra
surds
square roots
matrices
sum to infinity
palindromes
partitions
the only crossnumber
crossnumber
digits
digital products
geometry
menace
digital clocks
cryptic crossnumbers
trigonometry
mean
circles
geometric means
symmetry
functions
unit fractions
gerrymandering
axes
square numbers
elections
median
differentiation
integers
colouring
polynomials
planes
fractions
chocolate
range
quadrilaterals
odd numbers
prime numbers
logic
hexagons
cryptic clues
star numbers
cards
volume
clocks
ellipses
scales
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