Divisibility

Worksheets on divisibility of whole numbers, one lesson each. Divisibility is built from sharing into equal groups and rectangles of squares, and the divisibility rules are explained, not just stated.

Divisors and Multiples

• PDFEqual Groups: What Divisible Meansdivision with no remainder, factors and multiples · 2 pagesPRI
• PDFRectangles and Factor Pairsrectangles from squares, finding all factors systematically · 2 pagesPRI
• PDFMultiples: Jumps and Trainsnumber line, rods, common multiples · 2 pagesPRI

Divisibility Rules

• PDFDivisibility by 10, 5 and 2the ones digit, even and odd numbers · 2 pagesPRI
• PDFDivisibility by 3 and 9the digit sum and why the rule works · 2 pagesPRI
• PDFUsing the Divisibility Rulesmissing digits, a Venn diagram, word problems · 2 pagesPRI

Primes and Prime Factorisation

• PDFPrime and Composite Numberscounting factors, the sieve of Eratosthenes to 50 · 2 pagesPRI
• PDFPrime Factorisationfactor trees, repeated division, powers · 2 pagesPRI
• PDFDivisibility from Prime Factorsdeciding without working out the product, all factors from prime factors · 2 pagesPRI

Extension and Review

• PDFDivisibility of Sums, Differences and Productsextension, counterexamples · 2 pagesPRI
• PDFDivisibility: Puzzles and Reviewpuzzles, a concept map, self-check · 2 pagesPRI

The worksheets go with the free Factors and Prime Factors app (rectangles, factor trees, factors from primes) and the Hundred Chart app (multiples, the sieve of Eratosthenes, Guess my number).