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