If adding four times of last digit to number formed by remaining digits is divisible by 13,

Then number is divisible by 13

 

Is 169 divisible by 13?

Four times last digit = 4 × 9 = 36

Remaining digit = 16

Addition = 16 + 36 = 52

 

Since 52 is divisible by 13

∴ 169 is divisible by 13

 

Is 247 divisible by 13?

Four times last digit = 4 × 7 = 28

Remaining digit = 24

Addition = 24 + 28 = 52

 

Since 52 is divisible by 13

∴ 247 is divisible by 13

 

Is 298 divisible by 13?

Four times last digit = 4 × 8 = 32

Remaining digit = 29

Addition = 29 + 32 = 61

 

Since 61 is not divisible by 13

∴ 298 is not divisible by 13

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