Ex 3.4, 6 - A number is divisible by both 5 and 12. By which other

Ex 3.4, 6 - Chapter 3 Class 6 Playing with Numbers - Part 2

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Ex 3.4, 6 A number is divisible by both 5 and 12. By which other number will that number be always divisible? We know that If a number is divisible by two co-prime numbers, it is divisible their product Let’s check if 5 & 12 are co-prime Factors of 5 1 × 5 = 5 5 × 1 = 5 We stop here as 5 & 1 have occurred earlier Factors of 5 are 1, 5 Factors of 12 1 × 12 = 12 2 × 6 = 12 3 × 4 = 12 4 × 3 = 12 We stop here as 4 & 3 have occurred earlier Factors of 12 are 1, 2, 3, 4, 6, 12 Since common factor of 5 & 12 is 1 ∴ 5 & 12 are co-prime Now, If a number is divisible by two co-prime numbers, it is divisible their product Product = 5 × 12 = 60 So, if a number is divisible by 5 & 12, then number will also be divisible by its product 60

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.