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Advent calendar 2019
15 December
All 2019 advent puzzles
~
More information
There are 5 ways to make 30 by multiplying positive integers (including the trivial way):
30
2×15
3×10
5×6
2×3×5
Today's number is the number of ways of making 30030 by multiplying.
Show answer
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30030 is 2×3×5×7×11×13, so the answer is
the number of ways of sharing six elements into unlabelled boxes (A000110).
The answer is
203
.
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,
multiplication
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Tags
circles
differentiation
consecutive integers
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cryptic clues
cube numbers
crossnumbers
pentagons
palindromes
chalkdust crossnumber
irreducible numbers
squares
regular shapes
angles
doubling
integration
calculus
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perimeter
geometric mean
quadratics
determinants
cryptic crossnumbers
dates
taxicab geometry
axes
square numbers
algebra
odd numbers
tangents
chess
tournaments
cards
sequences
factors
lines
consecutive numbers
folding tube maps
speed
addition
perfect numbers
decahedra
menace
balancing
cubics
means
products
proportion
dominos
probability
volume
floors
routes
ave
chocolate
percentages
colouring
3d shapes
geometry
indices
complex numbers
ellipses
combinatorics
polygons
triangles
dodecagons
spheres
division
clocks
grids
coins
books
number
functions
people maths
probabilty
arrows
binary
partitions
coordinates
sums
albgebra
planes
surds
graphs
sport
digits
matrices
wordplay
rugby
sets
elections
expansions
shape
money
integers
area
rectangles
factorials
time
even numbers
averages
mean
quadrilaterals
symmetry
digital products
range
star numbers
2d shapes
gerrymandering
bases
multiples
crossnumber
hexagons
tiling
geometric means
digital clocks
unit fractions
remainders
scales
polynomials
pascal's triangle
logic
multiplication
trigonometry
parabolas
dice
median
the only crossnumber
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triangle numbers
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square roots
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