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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
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2020
Advent calendar 2019
Sunday Afternoon Maths LXVII
Coloured weights
Not Roman numerals
Advent calendar 2018
List of all puzzles
Tags
christmas
chalkdust crossnumber
money
factors
dominos
functions
median
triangles
speed
parabolas
cryptic clues
dice
perimeter
cube numbers
quadratics
elections
irreducible numbers
number
chocolate
dodecagons
palindromes
time
rugby
digital clocks
mean
planes
scales
symmetry
bases
fractions
ellipses
proportion
cryptic crossnumbers
sums
algebra
probability
products
prime numbers
squares
angles
grids
odd numbers
addition
perfect numbers
partitions
crossnumbers
averages
2d shapes
quadrilaterals
menace
gerrymandering
ave
sum to infinity
wordplay
balancing
integers
factorials
people maths
differentiation
means
crossnumber
shape
square roots
logic
multiples
crosswords
coordinates
colouring
chess
triangle numbers
percentages
area
regular shapes
advent
routes
polygons
numbers
the only crossnumber
clocks
graphs
taxicab geometry
range
3d shapes
shapes
doubling
dates
geometry
floors
sequences
volume
trigonometry
combinatorics
calculus
square numbers
games
digits
coins
remainders
unit fractions
books
multiplication
integration
sport
tiling
cards
spheres
surds
pascal's triangle
circles
probabilty
lines
complex numbers
star numbers
rectangles
arrows
folding tube maps
division
hexagons
indices
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