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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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gerrymandering
pentagons
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multiplaction squares
digital clocks
lines
coordinates
pascal's triangle
differentiation
tiling
games
probability
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speed
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averages
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tournaments
square numbers
axes
graphs
proportion
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cryptic crossnumbers
factorials
rectangles
albgebra
powers
division
expansions
cube numbers
dodecagons
integration
time
floors
hexagons
chocolate
sport
indices
palindromes
symmetry
addition
crosswords
menace
determinants
integers
sets
algebra
lists
2d shapes
multiplication
spheres
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matrices
area
tangents
regular shapes
consecutive numbers
cubics
cards
dominos
dice
doubling
numbers
geometry
money
complex numbers
percentages
median
squares
chess
triangle numbers
shape
crossnumbers
binary
advent
ave
christmas
balancing
odd numbers
probabilty
prime factors
range
fractions
grids
square grids
even numbers
factors
neighbours
the only crossnumber
sum to infinity
xor
surds
arrows
consecutive integers
angles
geometric means
clocks
chalkdust crossnumber
scales
sums
polygons
folding tube maps
combinatorics
geometric mean
3d shapes
digits
means
ellipses
perimeter
trigonometry
calculus
coins
decahedra
bases
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cryptic clues
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mean
logic
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