mscroggs
.co.uk
mscroggs
.co.uk
blog
puzzles
academic
talks
contact
subscribe
↓ ☰ ↓
subscribe
Loading image...
Advent calendar 2019
15 December
All 2019 advent puzzles
~
More information
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.
Show answer
Hide answer
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
.
Tags:
numbers
,
factors
,
products
,
multiplication
Archive
Show me a random puzzle
Most recent collections
Advent calendar 2025
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
List of all puzzles
Tags
shapes
even numbers
advent
sport
prime numbers
gerrymandering
functions
2d shapes
taxicab geometry
geometry
division
partitions
pascal's triangle
folding tube maps
tiling
probability
digital clocks
prime factors
differentiation
spheres
fractions
factorials
xor
numbers
area
angles
consecutive integers
rectangles
cubics
surds
decahedra
chocolate
logic
coordinates
factors
sets
routes
polygons
products
albgebra
scales
parabolas
ellipses
axes
christmas
mean
regular shapes
sums
number
arrows
combinatorics
elections
clocks
perimeter
colouring
shape
coins
planes
speed
balancing
bases
digits
cryptic clues
square grids
indices
sequences
powers
circles
money
tournaments
dodecagons
addition
geometric mean
squares
tangents
graphs
games
triangles
3d shapes
polynomials
hexagons
integers
people maths
dates
cards
wordplay
matrices
dominos
unit fractions
multiplaction squares
binary
calculus
quadrilaterals
sum to infinity
trigonometry
probabilty
multiples
percentages
lines
algebra
cryptic crossnumbers
perfect numbers
time
crosswords
doubling
floors
multiplication
star numbers
ave
complex numbers
range
quadratics
symmetry
proportion
digital products
determinants
consecutive numbers
median
chalkdust crossnumber
odd numbers
cube numbers
chess
palindromes
geometric means
triangle numbers
medians
means
grids
pentagons
crossnumbers
books
square numbers
averages
volume
lists
rugby
expansions
menace
integration
the only crossnumber
square roots
dice
neighbours
irreducible numbers
remainders
Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2025
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
List of all puzzles
Tags
geometric means
tiling
clocks
books
prime numbers
calculus
decahedra
regular shapes
scales
parabolas
polygons
odd numbers
games
perfect numbers
planes
coordinates
colouring
powers
digits
number
square grids
polynomials
prime factors
fractions
determinants
geometry
expansions
numbers
integration
area
matrices
sum to infinity
multiples
digital products
consecutive integers
chalkdust crossnumber
balancing
division
quadratics
logic
factorials
consecutive numbers
elections
circles
floors
digital clocks
gerrymandering
sport
proportion
wordplay
averages
probabilty
probability
chocolate
routes
cubics
speed
square numbers
multiplication
triangles
squares
tangents
quadrilaterals
geometric mean
range
products
indices
lines
unit fractions
money
hexagons
rugby
sequences
mean
differentiation
ave
cryptic crossnumbers
irreducible numbers
cube numbers
square roots
cards
bases
graphs
even numbers
shape
volume
multiplaction squares
algebra
coins
percentages
menace
dice
sets
median
neighbours
the only crossnumber
3d shapes
functions
integers
2d shapes
rectangles
axes
triangle numbers
sums
advent
angles
perimeter
xor
remainders
christmas
arrows
factors
albgebra
binary
folding tube maps
cryptic clues
star numbers
taxicab geometry
time
chess
pentagons
pascal's triangle
shapes
addition
spheres
symmetry
partitions
dodecagons
means
palindromes
ellipses
grids
complex numbers
dates
lists
trigonometry
surds
tournaments
people maths
doubling
dominos
medians
combinatorics
crosswords
crossnumbers
© Matthew Scroggs 2012–2026