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
balancing
floors
numbers
planes
clocks
complex numbers
number
indices
factorials
sets
tangents
christmas
pentagons
area
powers
speed
trigonometry
hexagons
cards
irreducible numbers
cube numbers
routes
logic
perimeter
spheres
integration
calculus
crossnumbers
means
quadrilaterals
money
square grids
prime numbers
binary
doubling
menace
consecutive integers
quadratics
range
advent
division
graphs
mean
geometry
sum to infinity
arrows
polynomials
sums
scales
tournaments
unit fractions
algebra
averages
geometric means
chess
digital products
albgebra
regular shapes
addition
probabilty
surds
people maths
coins
axes
dominos
ellipses
chocolate
numbers grids
gerrymandering
chalkdust crossnumber
2d shapes
fractions
probability
bases
partitions
proportion
circles
digital clocks
star numbers
palindromes
consecutive numbers
sport
lines
coordinates
crosswords
expansions
cryptic crossnumbers
neighbours
odd numbers
shapes
products
elections
integers
symmetry
sequences
3d shapes
pascal's triangle
medians
colouring
cubics
time
square numbers
parabolas
volume
games
even numbers
dice
angles
combinatorics
differentiation
dodecagons
books
tiling
folding tube maps
perfect numbers
geometric mean
digits
wordplay
square roots
grids
ave
squares
polygons
factors
remainders
matrices
functions
rugby
cryptic clues
the only crossnumber
dates
rectangles
multiplication
shape
multiples
triangles
percentages
determinants
triangle numbers
taxicab geometry
decahedra
median
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
cube numbers
multiplication
ellipses
parabolas
spheres
taxicab geometry
differentiation
surds
probability
percentages
indices
area
sport
chalkdust crossnumber
money
planes
volume
triangle numbers
graphs
sum to infinity
books
factorials
median
digital clocks
partitions
bases
circles
sums
averages
number
complex numbers
pentagons
dates
balancing
gerrymandering
routes
triangles
calculus
dodecagons
elections
quadratics
pascal's triangle
palindromes
combinatorics
cryptic crossnumbers
square roots
digital products
numbers grids
fractions
cards
wordplay
speed
regular shapes
numbers
perfect numbers
determinants
means
neighbours
coordinates
chocolate
polygons
people maths
unit fractions
menace
geometric means
colouring
grids
scales
clocks
factors
tournaments
folding tube maps
geometric mean
cubics
ave
arrows
decahedra
square numbers
symmetry
polynomials
albgebra
axes
3d shapes
games
consecutive numbers
cryptic clues
probabilty
sets
multiples
medians
expansions
algebra
doubling
matrices
division
trigonometry
sequences
functions
range
proportion
hexagons
consecutive integers
floors
lines
shape
crossnumbers
prime numbers
shapes
squares
time
irreducible numbers
coins
the only crossnumber
angles
quadrilaterals
addition
digits
square grids
christmas
star numbers
2d shapes
advent
logic
chess
products
integration
dice
binary
powers
rugby
tangents
integers
odd numbers
geometry
perimeter
remainders
mean
crosswords
tiling
dominos
rectangles
even numbers
© Matthew Scroggs 2012–2025