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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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dates
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axes
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christmas
indices
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chalkdust crossnumber
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odd numbers
determinants
addition
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chess
sequences
planes
sum to infinity
pascal's triangle
crosswords
doubling
hexagons
tangents
balancing
number
even numbers
cryptic crossnumbers
mean
ave
coordinates
digital products
factors
neighbours
irreducible numbers
numbers grids
rectangles
symmetry
algebra
people maths
ellipses
crossnumber
probability
scales
shapes
square grids
unit fractions
means
shape
perfect numbers
routes
volume
logic
proportion
triangles
consecutive integers
dodecagons
rugby
spheres
trigonometry
regular shapes
area
polynomials
decahedra
medians
dice
menace
chocolate
clocks
sets
3d shapes
geometric means
star numbers
palindromes
remainders
geometry
binary
averages
cubics
folding tube maps
multiplication
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range
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