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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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colouring
multiplication
coordinates
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crossnumbers
dates
pascal's triangle
products
expansions
differentiation
odd numbers
digital clocks
tangents
geometric means
probabilty
square numbers
indices
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triangle numbers
geometry
consecutive integers
folding tube maps
crossnumber
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factors
spheres
circles
mean
integration
integers
cryptic crossnumbers
squares
digits
area
digital products
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symmetry
3d shapes
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functions
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unit fractions
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rectangles
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cubics
books
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2d shapes
graphs
complex numbers
averages
multiples
planes
volume
probability
shapes
scales
fractions
angles
albgebra
algebra
polygons
axes
tiling
quadratics
the only crossnumber
lines
games
range
determinants
decahedra
quadrilaterals
cryptic clues
perfect numbers
sets
speed
sport
consecutive numbers
menace
arrows
coins
tournaments
geometric mean
gerrymandering
clocks
taxicab geometry
surds
number
sequences
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hexagons
chalkdust crossnumber
binary
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dice
logic
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