Find the number(s) which are divisible by 7.
Find the number(s) which are divisible by 7.
The correct options are
C 672
D 595
The divisibility rule for 7 states that if a number is divisible by 7 ,then the result obtained by subtracting double the last digit from the remaining number should be 0 or divisible by 7.
(i) 233
In the number 233, double the last digit of the number 3 is 6. 23 – 6 = 17 [Now we need to subtract it from the rest of the remaining number]
Since 17 is not divisible by 7.
Hence, 233 is not divisible by 7.
(ii) 167
In the number 167, double the last digit of the number 7 is 14. 16 – 14 = 2 [Now we need to subtract it from the rest of the remaining number]
Since 2 is not divisible by 7.
Hence, 167 is also not divisible by 7.
(iii) 672
In the number 672, double the last digit of the number2 is 4. 67 – 4 = 63 [Now we need to subtract it from the rest of the remaining number]
Since 63 is divisible by 7.
Hence, 672 is also divisible by 7.
(iv) 595
In the number 595, double the last digit of the number5 is 10. 59 – 10 = 49 [Now we need to subtract it from the rest of the remaining number]
Since 49 is divisible by 7.
Hence, 595 is also divisible by 7.
C 672
D 595
The divisibility rule for 7 states that if a number is divisible by 7 ,then the result obtained by subtracting double the last digit from the remaining number should be 0 or divisible by 7.
(i) 233
In the number 233, double the last digit of the number 3 is 6. 23 – 6 = 17 [Now we need to subtract it from the rest of the remaining number]
Since 17 is not divisible by 7.
Hence, 233 is not divisible by 7.
(ii) 167
In the number 167, double the last digit of the number 7 is 14. 16 – 14 = 2 [Now we need to subtract it from the rest of the remaining number]
Since 2 is not divisible by 7.
Hence, 167 is also not divisible by 7.
(iii) 672
In the number 672, double the last digit of the number2 is 4. 67 – 4 = 63 [Now we need to subtract it from the rest of the remaining number]
Since 63 is divisible by 7.
Hence, 672 is also divisible by 7.
(iv) 595
In the number 595, double the last digit of the number5 is 10. 59 – 10 = 49 [Now we need to subtract it from the rest of the remaining number]
Since 49 is divisible by 7.
Hence, 595 is also divisible by 7.
