Question

Test the divisibility of each of the following numbers by 8:

(i) 44444 

(ii) 154360 

(iii) 998818 

(iv) 265472 

(v) 7350162

Answer 1

(i) 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.

(ii) 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.

(iii) 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.

(iv) 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.

(v) 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.