mscroggs
.co.uk
mscroggs
.co.uk
blog
puzzles
academic
talks
contact
subscribe
↓ ☰ ↓
subscribe
Loading image...
Advent calendar 2019
24 December
All 2019 advent puzzles
~
More information
There are six 3-digit numbers with the property that the sum of their digits is equal to the product of their digits. Today's number is the largest of these numbers.
Show answer
Hide answer
The digits of the number must be 1, 2 and 3, so the largest number is
321
.
Tags:
numbers
,
digits
,
sums
,
products
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
neighbours
time
proportion
gerrymandering
division
probabilty
grids
quadratics
square numbers
remainders
dodecagons
games
combinatorics
prime numbers
volume
tournaments
odd numbers
indices
partitions
colouring
products
ellipses
even numbers
quadrilaterals
medians
albgebra
cube numbers
routes
addition
averages
polynomials
christmas
complex numbers
sets
crossnumbers
menace
planes
spheres
digital clocks
doubling
perfect numbers
triangles
squares
surds
square roots
money
coins
fractions
algebra
multiplaction squares
determinants
folding tube maps
dates
decahedra
sequences
cards
dice
probability
star numbers
scales
perimeter
factors
elections
logic
numbers
chalkdust crossnumber
floors
unit fractions
clocks
geometry
hexagons
consecutive integers
percentages
sport
chess
pascal's triangle
cryptic clues
multiplication
consecutive numbers
rugby
xor
cubics
area
palindromes
expansions
pentagons
sums
differentiation
tiling
advent
lists
sum to infinity
lines
graphs
angles
factorials
prime factors
2d shapes
arrows
taxicab geometry
books
matrices
powers
multiples
cryptic crossnumbers
parabolas
axes
binary
tangents
integers
rectangles
calculus
dominos
shapes
shape
functions
digital products
symmetry
bases
geometric means
ave
means
speed
mean
polygons
integration
square grids
crosswords
range
median
regular shapes
people maths
wordplay
irreducible numbers
3d shapes
chocolate
geometric mean
digits
trigonometry
balancing
triangle numbers
circles
the only crossnumber
number
coordinates
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
ellipses
odd numbers
digital products
binary
calculus
hexagons
wordplay
star numbers
sport
folding tube maps
addition
multiplication
logic
graphs
time
combinatorics
doubling
prime factors
integers
cryptic clues
albgebra
rectangles
multiples
square grids
differentiation
dates
routes
prime numbers
determinants
lists
grids
integration
spheres
unit fractions
arrows
neighbours
dodecagons
irreducible numbers
square roots
quadrilaterals
chalkdust crossnumber
sequences
division
matrices
ave
parabolas
scales
coins
remainders
dice
volume
clocks
rugby
perimeter
triangles
xor
even numbers
mean
complex numbers
triangle numbers
cube numbers
crosswords
geometric means
chess
polynomials
sets
2d shapes
multiplaction squares
colouring
elections
taxicab geometry
geometry
coordinates
consecutive numbers
algebra
bases
medians
axes
digits
pascal's triangle
geometric mean
quadratics
powers
gerrymandering
perfect numbers
regular shapes
crossnumbers
dominos
people maths
circles
proportion
speed
range
probabilty
expansions
area
lines
floors
sum to infinity
shapes
consecutive integers
digital clocks
factorials
advent
money
factors
decahedra
sums
partitions
median
angles
tangents
polygons
games
cards
fractions
cubics
tournaments
number
indices
functions
numbers
probability
tiling
percentages
planes
square numbers
shape
symmetry
trigonometry
squares
christmas
surds
3d shapes
averages
balancing
means
menace
books
chocolate
products
the only crossnumber
pentagons
cryptic crossnumbers
palindromes
© Matthew Scroggs 2012–2026