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
symmetry
functions
square roots
angles
regular shapes
geometry
games
fractions
algebra
3d shapes
chocolate
squares
albgebra
combinatorics
circles
consecutive numbers
factorials
even numbers
means
sum to infinity
wordplay
partitions
christmas
tangents
routes
clocks
dodecagons
dates
digital products
lines
percentages
area
medians
factors
consecutive integers
palindromes
time
floors
polynomials
decahedra
balancing
perimeter
matrices
doubling
crossnumbers
complex numbers
menace
folding tube maps
probability
integers
taxicab geometry
parabolas
xor
calculus
coordinates
polygons
ave
sets
numbers
dominos
multiples
crosswords
pascal's triangle
colouring
grids
quadratics
quadrilaterals
multiplaction squares
triangles
geometric means
prime factors
determinants
cryptic crossnumbers
ellipses
advent
books
rugby
lists
proportion
speed
remainders
scales
arrows
graphs
cryptic clues
surds
prime numbers
trigonometry
triangle numbers
volume
shapes
range
gerrymandering
cube numbers
digits
2d shapes
powers
cards
irreducible numbers
products
rectangles
multiplication
integration
tiling
division
addition
indices
bases
square numbers
number
unit fractions
axes
median
elections
hexagons
tournaments
people maths
planes
odd numbers
sequences
coins
cubics
perfect numbers
pentagons
digital clocks
averages
expansions
logic
chess
square grids
star numbers
sums
neighbours
differentiation
the only crossnumber
shape
geometric mean
sport
spheres
money
dice
chalkdust crossnumber
mean
binary
probabilty
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
squares
wordplay
tangents
regular shapes
even numbers
tiling
averages
rectangles
elections
probabilty
xor
money
coins
2d shapes
balancing
percentages
dodecagons
pascal's triangle
3d shapes
arrows
partitions
differentiation
bases
shapes
cryptic clues
symmetry
dominos
polynomials
cards
geometric mean
circles
prime factors
perfect numbers
algebra
people maths
multiplaction squares
sets
gerrymandering
multiplication
polygons
albgebra
advent
means
integers
planes
matrices
time
geometric means
the only crossnumber
parabolas
indices
chocolate
functions
digits
geometry
triangles
chalkdust crossnumber
determinants
binary
factors
fractions
odd numbers
irreducible numbers
addition
area
lists
neighbours
doubling
quadrilaterals
combinatorics
multiples
consecutive integers
menace
probability
sum to infinity
books
perimeter
ave
remainders
rugby
median
unit fractions
digital products
trigonometry
grids
clocks
integration
digital clocks
axes
chess
hexagons
proportion
crossnumbers
folding tube maps
powers
calculus
routes
angles
decahedra
colouring
pentagons
cubics
triangle numbers
cube numbers
expansions
sequences
factorials
ellipses
shape
sport
quadratics
mean
consecutive numbers
star numbers
number
lines
taxicab geometry
volume
dice
products
logic
graphs
floors
speed
crosswords
scales
square numbers
dates
medians
spheres
square roots
numbers
cryptic crossnumbers
prime numbers
division
games
tournaments
christmas
palindromes
square grids
coordinates
surds
sums
complex numbers
range
© Matthew Scroggs 2012–2026