mscroggs
.co.uk
mscroggs
.co.uk
blog
puzzles
academic
talks
contact
subscribe
↓ ☰ ↓
subscribe
Loading image...
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.
Show answer
Hide answer
By the same method as
this puzzle
, the answer is
108
.
Tags:
numbers
,
square numbers
,
factorials
Archive
Show me a random puzzle
Most recent collections
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
List of all puzzles
Tags
partitions
geometric means
numbers grids
median
unit fractions
rectangles
tournaments
calculus
dodecagons
addition
algebra
multiplication
chalkdust crossnumber
albgebra
sport
people maths
pascal's triangle
coordinates
dates
geometry
scales
factors
spheres
polynomials
taxicab geometry
square roots
fractions
integers
differentiation
doubling
shape
functions
trigonometry
hexagons
multiples
volume
geometric mean
factorials
crossnumbers
chess
chocolate
star numbers
binary
perimeter
medians
sets
integration
crosswords
indices
cryptic clues
complex numbers
division
probability
floors
consecutive numbers
expansions
logic
christmas
advent
folding tube maps
quadrilaterals
tiling
surds
circles
symmetry
square numbers
decahedra
odd numbers
perfect numbers
prime numbers
consecutive integers
crossnumber
regular shapes
shapes
the only crossnumber
planes
ellipses
games
means
speed
powers
lines
colouring
cube numbers
tangents
digits
ave
money
numbers
parabolas
arrows
time
grids
probabilty
quadratics
books
dominos
dice
range
percentages
matrices
routes
sum to infinity
rugby
wordplay
neighbours
axes
irreducible numbers
3d shapes
digital clocks
mean
clocks
sums
menace
elections
pentagons
remainders
area
graphs
sequences
proportion
balancing
2d shapes
triangle numbers
averages
coins
polygons
even numbers
combinatorics
cubics
number
digital products
bases
triangles
determinants
square grids
products
cards
squares
palindromes
gerrymandering
angles
cryptic crossnumbers
Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
List of all puzzles
Tags
numbers grids
complex numbers
geometry
perimeter
arrows
shape
elections
scales
albgebra
spheres
coins
speed
square roots
squares
graphs
crossnumber
probability
routes
star numbers
christmas
balancing
gerrymandering
trigonometry
circles
cryptic clues
probabilty
logic
grids
folding tube maps
tournaments
neighbours
sets
polygons
wordplay
2d shapes
number
quadratics
odd numbers
indices
averages
irreducible numbers
volume
angles
axes
medians
cryptic crossnumbers
determinants
even numbers
tiling
symmetry
remainders
multiples
colouring
polynomials
crossnumbers
parabolas
median
regular shapes
tangents
unit fractions
consecutive numbers
range
binary
fractions
dice
floors
clocks
ellipses
hexagons
sequences
pentagons
proportion
quadrilaterals
numbers
shapes
sport
products
percentages
chalkdust crossnumber
division
cube numbers
palindromes
doubling
planes
geometric mean
area
ave
powers
digital clocks
algebra
money
factorials
coordinates
bases
integers
partitions
combinatorics
decahedra
functions
triangle numbers
people maths
crosswords
surds
time
digital products
taxicab geometry
geometric means
calculus
chess
cards
square numbers
rugby
menace
factors
matrices
square grids
3d shapes
dates
the only crossnumber
triangles
rectangles
consecutive integers
dodecagons
perfect numbers
differentiation
dominos
cubics
addition
digits
lines
mean
books
chocolate
advent
multiplication
prime numbers
games
sums
expansions
means
sum to infinity
integration
pascal's triangle
© Matthew Scroggs 2012–2025