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