Using divisibility tests, determine which of the following numbers are divisible by 2; by 3; by 5; by 6; by 8; by 9; by 10; by 11 (say, yes or no):


Number



Divisible by



2



3



4



5



6



8



9



10



11



128



Yes



No



Yes



No



No



Yes



No



No



No



990












1586












275












6689












639210












429714












2856












3060












406839












In this question, we have to divide the numbers by the given numbers to see whether it is divisible or not. To check this, we follow the divisibility rules:


(i) For divisible by 2: Any number that has 0,2,4,6, or 8 in its one’s place is divisible by 2.


(ii) For divisible by 3: If the sum of all the digits of the number is multiple of 3, then it is divisible by 3.


(iii) For divisible by 4: Any number whose last two digits (i.e. one’s and ten’s place digits) are divisible by 4 then, the number is divisible by 4.


(iv) For divisible by 5: Any number that has 0 or 5 in its one’s place is divisible by 5.


(v) For divisible by 6: If a number a divisible by both 2 and 3, then it is divisible by 6.


(vi) For divisible by 8: Any number whose last three digits are divisible by 8 then, the number is divisible by 8.


(vii) For divisible by 9: If the sum of all the digits of the number is multiple of 9, then it is divisible by 9.


(viii) For divisible by 10: Any number that has 0 in its one’s place is divisible by 10.



For example-


990


= 990 ÷ 2 = 495 so yes it is divisible.


= 990 ÷ 3 = 330 so yes,


= 990 ÷ 4 = 247.5 which is not completely divisible so no its not divisible by 4,


= 990 ÷ 5 = 198 yes


= 990 ÷ 6 = 165 yes


= 990 ÷ 8 = 123.75 (N0)


= 990 ÷ 9 = 110 yes


= 990 ÷ 10 = 99 yes


= 990 ÷ 11 = 90 yes


Number



Divisible by



2



3



4



5



6



8



9



10



11



990



Yes



Yes



No



Yes



Yes



No



Yes



Yes



Yes



1586



Yes



No



No



No



No



No



No



No



No



275



No



No



No



Yes



No



No



No



No



Yes



6689



Yes



No



No



No



No



No



No



No



No



639210



Yes



Yes



No



Yes



Yes



No



No



Yes



Yes



429714



Yes



Yes



No



No



Yes



No



Yes



No



No



2856



Yes



Yes



Yes



No



Yes



Yes



No



No



No



3060



Yes



Yes



Yes



Yes



Yes



No



Yes



Yes



No



406839



No



Yes



No



No



No



No



No



No



No



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