Four Digit Numbers and Divisibility by 11

Four Digit Numbers and Divisibility by 11 is a Grade 4 whole-class investigation that asks students to look for a pattern before they are given the rule. Students examine four-digit numbers divisible by 11, compare sums of digits in alternating places, and test whether the difference is 0 or another multiple of 11. The structure makes divisibility a pattern-finding problem rather than a rule to memorize first.

Use it as a number talk, enrichment task, or whole-class reasoning activity before formal practice with divisibility. Students can defend a conjecture and then test it on a much larger number without a calculator. Generate teacher-ready lesson support with a free Find a Math Game account. No credit card is needed, and you get 3 lifetime lesson generations.