Maths tricks · trick 21 of 25 · free

Divisible by 4 or 8? — Maths trick for kids

Only the last two digits decide if a number is in the 4 table. The shortcut: if the tens digit is even, the ones digit must be 0, 4 or 8; if the tens digit is odd, the ones digit must be 2 or 6. For 8, look at the hundreds digit in the same way.

The trick

Odd or even — “even tens digit: ones must be 0, 4 or 8; odd tens digit: ones must be 2 or 6”

  1. For 4: even tens digit → the ones digit must be 0, 4 or 8. Odd tens digit → the ones digit must be 2 or 6.
  2. For 8: even hundreds digit → the last two digits must be in the 8 table.
  3. Odd hundreds digit → the last two digits plus 4 must be in the 8 table (5136: 36 + 4 = 40 ✓).

Use it for: Checking long-division answers, leap years (divisible by 4), and Olympiad divisibility questions.

Worked example: Is 3716 divisible by 4? Yes

  1. Only the last two digits matter: 16.
  2. The tens digit 1 is odd, so the ones digit must be 2 or 6.
  3. The ones digit is 6, so yes.

Check: 3716 ÷ 4 = 929 and 5136 ÷ 8 = 642 ✓

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🖨️ Divisibility Rules of 4 and 8 Worksheet

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