Complete the following table using divisibility conditions: Number Divisible by 2 Divisible by 3 Divisible by 5 Divisible by 9 Divisible by 10 140 252 345 426 519 620 1024

Given numbers are 140 , 252 , 345 , 426 , 519 , 620 , 1024 . We need to check the divisibility of given numbers by 2 , 3 , 5 , 9 , 10 . We know that, a number is said to be divisible by another number if the remainder is 0 . First, let us take a number 140 . We need to check whether the number 140 is divisible by 2 , 3 , 5 , 9 , 10 . Divisible rule of 2 : A number is divisible by 2 if the digit at the unit place is either 0 or multiple of 2 (even). Here, in 140 the unit place digit is 0 , so it is divisible by 2 . Divisible rule of 3 : A number is divisible by 3 , if the sum of its all digits is a multiple of 3 or divisibility by 3 . Sum of all the digits of 140 = 1 + 4 + 0 = 5 , which is not divisible by 3 . So, it is not divisible by 3 . Divisible rule of 5 : A number is divisible by 5 if its units place is 0 or 5 . In 140 , the unit's place digit is 0 . So, 140 is divisible by 5 . Divisible rule of 9 : A number is divisible by 9 , if the sum is a multiple of 9 or if the sum of its digits is divisible by 9 . Sum of the digit of 140 = 1 + 4 + 0 = 5 , which is not divisible by 9 . So, it is not divisible by 9 . Divisible rule of 10 : A number is divisible by 10 if it has zero ( 0 ) in its units place. In 140 , the unit's digit is 0 . So, it is divisible by 10 . Therefore, 140 is divisible by 2 , 5 , 10 and not divisible by 3 , 9 . If it is divisible then write ' Yes' in the table if it is not divisible then write 'No' in the table. Similarly, we can check the divisibility of other given numbers. And the final table is given below. Number Divisible by 2 Divisible by 3 Divisible by 5 Divisible by 9 Divisible by 10 140 Yes No Yes No Yes 252 Yes Yes No Yes No 345 No Yes Yes No No 426 Yes Yes No No No 519 No Yes No No No 620 Yes No Yes No Yes 1024 Yes No No No No

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Math Sight book>Chapter 4 - Playing with Numbers>Multiple-Choice Questions

Jharne De and Ranjana Kumar Solutions for Chapter: Playing with Numbers, Exercise 2: EXERCISE 4.2

Author:Jharne De & Ranjana Kumar

Jharne De Mathematics Solutions for Exercise - Jharne De and Ranjana Kumar Solutions for Chapter: Playing with Numbers, Exercise 2: EXERCISE 4.2

Attempt the practice questions on Chapter 4: Playing with Numbers, Exercise 2: EXERCISE 4.2 with hints and solutions to strengthen your understanding. Math Sight book solutions are prepared by Experienced Embibe Experts.