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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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squares
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sport
colouring
perfect numbers
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shapes
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shape
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clocks
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christmas
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planes
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angles
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axes
dice
consecutive integers
prime numbers
expansions
logic
square numbers
irreducible numbers
quadratics
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factors
hexagons
star numbers
crosswords
integration
folding tube maps
coordinates
multiplication
numbers
crossnumbers
integers
proportion
differentiation
sets
averages
doubling
square roots
probability
rugby
parabolas
sum to infinity
wordplay
fractions
lines
tangents
balancing
cryptic crossnumbers
cube numbers
unit fractions
multiples
digital clocks
books
quadrilaterals
gerrymandering
chocolate
combinatorics
means
digits
odd numbers
symmetry
geometric mean
albgebra
even numbers
people maths
geometry
elections
2d shapes
floors
chalkdust crossnumber
partitions
cubics
addition
consecutive numbers
products
matrices
digital products
rectangles
bases
dates
determinants
ave
3d shapes
sums
coins
factorials
calculus
routes
surds
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