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 |