A number is divisible by 6 if

  • It is divisible by 2
  • It is divisible by 3

 

Example :

Is 36 is divisible by 6?

Divisibility by 6 i.jpg

 

Since 36 is divisible by both 2 & 3

It is divisible by 6

 

Is 18 is divisible by 6?

Divisibility by 6 ii.jpg

 

Since 18 is divisible by both 2 and 3

∴ it is divisible by 6

 

Is 27 is divisible by 6?

Divisibility by 6 iii.jpg

 

Since it is not divisible by 2,

∴ 27 is not divisible by 6

 

Is 216 is divisible by 6?

Divisibility by 6 iv.jpg

 

Since 216 is divisible by both 2 and 3

∴ It is divisible by 6.

  1. Chapter 3 Class 6 Playing with Numbers
  2. Concept wise

Transcript

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 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 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 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

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.