Division practice

Divisibility with chosen divisors

Focus divisibility practice on selected divisors from 2 through 12 and determine which of them divide each whole number exactly.

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For each number, test every divisor in the selected set. Write Yes if it gives a whole-number quotient with no remainder, and No otherwise.

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Learning objective

What this activity builds

Evaluate a chosen set of candidate divisors using known rules, multiplication facts or exact division.

Worked example

From the selected divisors 4, 7, 8 and 12, which divide 84 exactly?

4, 7 and 12.

The facts 4 × 21 = 84, 7 × 12 = 84 and 12 × 7 = 84 prove three exact divisions. Eight gives 10 remainder 4, so it is not a divisor of 84.

Teaching notes

Make the practice count

Select a small set first so learners can explain every decision.
Use multiplication to check less familiar divisors instead of inventing a shortcut rule.

A useful next step

Related activities

Division

Divisibility tests

Test whole numbers against the fixed set of divisors 2, 3, 4, 5, 6 and 9, recording every rule that the number satisfies.

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