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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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ave
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remainders
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chalkdust crossnumber
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parabolas
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coins
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books
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quadratics
arrows
advent
sets
floors
digital products
square roots
median
doubling
sequences
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geometric mean
time
lines
axes
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spheres
irreducible numbers
odd numbers
cryptic crossnumbers
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triangle numbers
digital clocks
trigonometry
multiplication
polynomials
games
unit fractions
chocolate
cube numbers
sums
perfect numbers
scales
consecutive integers
geometry
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cryptic clues
integers
2d shapes
square numbers
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multiples
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