mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

37

Take a three digit number where all the digits are the same (eg. 888).
Divide this number by the sum of its digits (eg. 888÷24).
Your answer is 37.
Prove that the answer will always be 37.

Show answer & extension

Tags: numbers
If you enjoyed this puzzle, check out Sunday Afternoon Maths XXXV,
puzzles about numbers, or a random puzzle.

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

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2026