Divisibility Tests - All
Last updated at May 29, 2023 by Teachoo
A number is divisible by 12 if
Let’s take some examples
Since 1092 is divisible by both 3 & 4
It is divisible by 12
Since 648 is divisible by both 3 & 4
It is divisible by 12
Since 524 is not divisible by 3
It is not divisible by 12
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To check divisibility by 12, we check that Number is divisible by 3 Number is divisible by 4 Divisibility by 3 Sum of digits = 1 + 0 + 9 + 2 = 12 Since 12 is divisible by 3 ∴ 1092 is divisible by 3 Divisibility by 4 Last two digits = 92 Since 92 is divisible by 4 ∴ 1092 is divisible by 4 To check divisibility by 12, we check that Number is divisible by 3 Number is divisible by 4 Divisibility by 3 Sum of digits = 6 + 4 + 8 = 18 Since 18 is divisible by 3 ∴ 648 is divisible by 3 Divisibility by 4 Last two digits = 48 Since 48 is divisible by 4 ∴ 648 is divisible by 4 To check divisibility by 12, we check that Number is divisible by 3 Number is divisible by 4 Divisibility by 3 Sum of digits = 5 + 2 + 4 = 11 Since 11 is not divisible by 3 ∴ 524 is not divisible by 3 Divisibility by 4 Last two digits = 24 Since 24 is divisible by 4 ∴ 524 is divisible by 4
