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Advent calendar 2019
15 December
All 2019 advent puzzles
~
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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.
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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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multiples
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polygons
area
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volume
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tiling
mean
even numbers
rugby
complex numbers
bases
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binary
coins
grids
square roots
differentiation
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numbers
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sum to infinity
elections
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pentagons
books
perimeter
chess
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square numbers
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spheres
planes
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routes
wordplay
fractions
coordinates
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sequences
products
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algebra
crossnumber
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decahedra
number
geometric mean
clocks
means
palindromes
triangle numbers
consecutive numbers
circles
probabilty
chalkdust crossnumber
colouring
crosswords
digital clocks
regular shapes
tournaments
scales
digital products
cryptic crossnumbers
quadratics
dodecagons
functions
ave
folding tube maps
2d shapes
surds
angles
proportion
matrices
probability
factorials
median
indices
games
dice
cubics
factors
logic
lines
quadrilaterals
division
christmas
people maths
prime numbers
sport
hexagons
squares
geometric means
doubling
graphs
unit fractions
shapes
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perfect numbers
integration
averages
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trigonometry
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cryptic clues
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