Divisibility by 6

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Divisibility by 6DIVISIBILITY RULE OF 6 Number must be divisible by BOTH 2 and 3. EXAMPLE: 12354 G Divisible by 2: Yes (ends in 4, an even number). (6) Divisible by 3: Yes (Sum of digits: , and 15 is divisible by 3 ) So, 12354 is divisible by 6 .Let’s do some examples Is 36 is divisible by 6? Since 36 is divisible by both 2 & 3 It is divisible by 6 To check divisibility by 6 we check that Number is divisible by 2 Number is divisible by 3 Divisibility by 2 Since 36 ends with 6 It is divisible by 2 Divisibility by 3 Sum of digits = 3 + 6 = 9 Since 9 is divisible by 3 ∴ 36 is divisible by 3 Is 18 is divisible by 6? Since 18 is divisible by both 2 and 3 ∴ 18 is divisible by 6 To check divisibility by 6 we check that Number is divisible by 2 Number is divisible by 3 Divisibility by 2 Since 18 ends with 8 It is divisible by 2 Divisibility by 3 Sum of digits = 1 + 8 = 9 Since 9 is divisible by 3 ∴ 18 is divisible by 3 Is 27 is divisible by 6? Since it is not divisible by 2, ∴ 27 is not divisible by 6 To check divisibility by 6 we check that Number is divisible by 2 Number is divisible by 3 Divisibility by 2 Since 27 ends with 7 It is not divisible by 2 Divisibility by 3 Sum of digits = 2 + 7 = 9 Since 9 is divisible by 3 So, 27 is divisible by 3 Is 216 is divisible by 6? Since 216 is divisible by both 2 and 3 ∴ 216 is divisible by 6.To check divisibility by 6 we check that Number is divisible by 2 Number is divisible by 3 Divisibility by 2 Since 216 ends with 6 It is divisible by 2 Divisibility by 3 Sum of digits = 2 + 1 + 6 = 9 Since 9 is divisible by 3 So, 216 is divisible by 3