Test the divisibility of each of the following numbers by 8:
(i) 6132
(ii) 7304
(iii) 59312
(iv) 66664
(v) 44444
(vi) 154360
(vii) 998818
(viii) 265472
(ix) 7350162
(i) 6132
We know that if number formed by last three digits of a given number is divisible by 8, then entire given number is divisible by 8.
Here, number formed by last three digits is 132, which is not divisible by 8.
Hence, 6132 is not divisible by 8.
(ii) 7304
We know that if number formed by last three digits of a given number is divisible by 8, then entire given number is divisible by 8.
Here, number formed by last three digits is 304, which is divisible by 8.
Hence, 7304 is divisible by 8.
(iii) 59312
We know that if number formed by last three digits of a given number is divisible by 8, then entire given number is divisible by 8.
Here, number formed by last three digits is 312, which is divisible by 8.
Hence, 59312 is divisible by 8.
(iv) 66664
We know that if number formed by last three digits of a given number is divisible by 8, then entire given number is divisible by 8.
Here, number formed by last three digits is 664, which is divisible by 8.
Hence, 66664 is divisible by 8.
(v) 44444
We know that if number formed by last three digits of a given number is divisible by 8, then entire given number is divisible by 8.
Here, number formed by last three digits is 444, which is not divisible by 8.
Hence, 44444 is not divisible by 8.
(vi) 154360
We know that if number formed by last three digits of a given number is divisible by 8, then entire given number is divisible by 8.
Here, number formed by last three digits is 360, which is divisible by 8.
Hence, 154360 is divisible by 8.
(vii) 998818
We know that if number formed by last three digits of a given number is divisible by 8, then entire given number is divisible by 8.
Here, number formed by last three digits is 818, which is not divisible by 8.
Hence, 998818 is not divisible by 8.
(viii) 265472
We know that if number formed by last three digits of a given number is divisible by 8, then entire given number is divisible by 8.
Here, number formed by last three digits is 472, which is divisible by 8.
Hence, 265472 is divisible by 8.
(ix) 7350162
We know that if number formed by last three digits of a given number is divisible by 8, then entire given number is divisible by 8.
Here, number formed by last three digits is 162, which is not divisible by 8.
Hence, 7350162 is not divisible by 8.