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 2023
Advent calendar 2022
Advent calendar 2021
Advent calendar 2020
List of all puzzles
Tags
determinants
rugby
sum to infinity
angles
2d shapes
routes
pascal's triangle
grids
matrices
dodecagons
percentages
squares
decahedra
fractions
chalkdust crossnumber
triangle numbers
books
perfect numbers
coordinates
gerrymandering
folding tube maps
odd numbers
expansions
regular shapes
hexagons
square numbers
cryptic crossnumbers
floors
functions
doubling
sport
colouring
products
volume
quadratics
tiling
bases
perimeter
shape
mean
dominos
cards
palindromes
chess
cryptic clues
cube numbers
prime numbers
probability
coins
polynomials
irreducible numbers
even numbers
time
digits
averages
partitions
geometric mean
sums
christmas
speed
digital clocks
sequences
area
range
trigonometry
games
scales
number
consecutive integers
median
integration
sets
tangents
crossnumbers
planes
crosswords
balancing
shapes
ave
surds
graphs
symmetry
square roots
cubics
ellipses
pentagons
dice
3d shapes
proportion
means
axes
digital products
triangles
logic
quadrilaterals
geometry
factorials
probabilty
the only crossnumber
dates
spheres
multiples
tournaments
multiplication
polygons
people maths
star numbers
addition
consecutive numbers
geometric means
algebra
division
taxicab geometry
factors
indices
combinatorics
remainders
money
parabolas
clocks
circles
chocolate
lines
wordplay
complex numbers
rectangles
advent
arrows
calculus
differentiation
binary
elections
menace
integers
crossnumber
unit fractions
numbers
albgebra
Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
Advent calendar 2020
List of all puzzles
Tags
probability
factors
chalkdust crossnumber
star numbers
digital clocks
multiples
square roots
quadrilaterals
lines
scales
addition
square numbers
binary
quadratics
means
irreducible numbers
games
logic
regular shapes
area
angles
advent
crossnumbers
geometry
division
functions
the only crossnumber
albgebra
graphs
palindromes
balancing
odd numbers
spheres
doubling
grids
floors
prime numbers
geometric mean
range
coordinates
partitions
taxicab geometry
averages
number
polynomials
algebra
tiling
coins
sport
cryptic crossnumbers
symmetry
complex numbers
chocolate
wordplay
combinatorics
pentagons
dates
percentages
multiplication
bases
decahedra
rectangles
dice
trigonometry
matrices
sets
menace
sum to infinity
money
elections
tangents
clocks
time
axes
cryptic clues
colouring
indices
triangle numbers
probabilty
arrows
unit fractions
2d shapes
christmas
folding tube maps
cards
chess
perimeter
crossnumber
shape
hexagons
books
remainders
ave
cubics
perfect numbers
geometric means
parabolas
mean
consecutive numbers
digital products
median
shapes
products
expansions
surds
digits
fractions
consecutive integers
rugby
sequences
sums
numbers
integers
calculus
dominos
dodecagons
factorials
circles
crosswords
pascal's triangle
speed
ellipses
proportion
even numbers
gerrymandering
volume
differentiation
tournaments
triangles
routes
squares
polygons
determinants
3d shapes
people maths
cube numbers
planes
integration
© Matthew Scroggs 2012–2024