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Four Fours Challenge

Build a math expression for every number from 1 to 100 using exactly four 4s and any math operators you know. Some numbers are easy; others will stretch your logic. PEMDAS rules.

Target

1

Type an expression using only the digit 4 and math operators.
Operator reference
+ - · add and subtract
* or x · multiply
/ · divide
^ · power (e.g. 4^4 = 256)
( ) · grouping for PEMDAS
! · factorial (e.g. 4! = 24)
· square root (prefix; √4 = 2)
% · percent (e.g. 44% = 0.44)
. · decimal (e.g. .4 = 0.4)
Multi-digit: 44 uses two 4s, 444 uses three.

Goal: every expression must use the digit 4 exactly four times and evaluate to the target.

Progress · click a number to jump

About this puzzle: The Four Fours problem is a classic recreational-mathematics challenge dating to the late 1800s. It builds order-of-operations fluency (CCSS 5.OA.A.1 and 6.EE.A.1), mental arithmetic, and creative problem-solving. Recommended for grades 4–8, but most adults find some of the harder numbers a real workout.