A number is divisible by 12 if

  • It is divisible by 3
  • It is divisible by 4

 

Let’s take some examples

Is 1092 is divisible by 12?

Is 1092 is divisible by 12.jpg

 

Since 1092 is divisible by both 3 & 4

It is divisible by 12

 

Is 648 is divisible by 12?

Divisibility by 12 - Part 2

 

Since 648 is divisible by both 3 & 4

It is divisible by 12

 

Is 524 is divisible by 12?

Divisibility by 12 - Part 3

 

Since 524 is not divisible by 3

It is not divisible by 12

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Transcript

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

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo