Question 2 - More Divisibility Rules - Chapter 3 Class 6 Playing with Numbers

Last updated at April 16, 2024 by

Ex 3.5, 10 - Determine if 25110 is divisible by 45 - Chapter 1 Class 6

Ex 3.5, 10 - Chapter 3 Class 6 Playing with Numbers - Part 2

Transcript

Question 2 Determine if 25110 is divisible by 45. [Hint : 5 and 9 are co-prime numbers. Test the divisibility of the number by 5 and 9].To check if 25110 is divisible by 45, We check if 25110 is divisible by 5 & 9 Checking divisibility by 5 25110 ends with 0 So, it is divisible by 5 Checking divisibility by 9 Sum of digits = 2 + 5 + 1 + 1 + 0 = 9 9 is divisible by 9 So 25110 is also divisible by 9 We know that If a number is divisible by two co-prime numbers, it is divisible their product Since 25110 is divisible by two co-prime numbers 5 & 9 It is divisible by their product 5 × 9 = 45 also. Hence, 25110 is divisible by 45

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.