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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

Ex 3.5, 6 The product of three consecutive numbers is always divisible by 6. Verify this statement with the help of some examples.Let us find Product three consecutive numbers 1 × 2 × 3 2 × 3 × 4 3 × 4 × 5 4 × 5 × 6 5 × 6 × 7 = 210 10 × 11 × 12 = 1320 12 × 13 × 14 = 2184 13 × 14 × 15 = 2730 Let’s check if these numbers are divisible by 6 If a number is divisible by 6 it is divisible by 2 it is divisible by 3 We note that in all numbers Numbers ends with 0, 2, 4, 6, 8 ∴ It is divisible by 2 Sum of digits is divisible by 3 ∴ It is divisible by 3 Since all numbers are divisible by 2 & 3 They will be divisible by 6 ∴ Product of any three consecutive numbers is divisible by 6

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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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.