Question

check whether the following numbers are
divisible by 2, 4,5 and 8 or not (all four).
(i) 310
(iii) 6915
(ii) 2240
(iv) 3560

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Answer 1

Answer:

310 divisible by 2, 5 only

6915 divisible by 5

2240 divisible by 2,4 5 ,8

3560 divisible by 2,4,5,8

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Answer 2

Divisibility check :

Divisible by 2 : See the last digit , if it is an even number , it is divisible by 2 and if odd it is not divisible by 2 .

Divisibility by 4 : See last two digits , if they are divisible by 4 , the number is divisible by 4 .

Divisibility by 5 : See the last digit , if it is either 0 or 5 , the number is divisible by 5 .

Divisibility by 8 : See the last three digits, if they are divisible by 8 , the number is divisible by 8 .

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1) 310 :

1. Divisible by 2 ( 0 is an even number)
2. Not divisible by 4 (10 is not divisible by 4)
3. Divisible by 5 (0 is the last digit)
4. Not divisible by 8 (310 - last three digits are not divisible by 8)

2) 6915

1. Not divisible by 2 (5 is an odd number)
2. Not divisible by 4 (15 is not divisible by 4)
3. Divisible by 5 (5 is the last digit)
4. Not divisible by 8 (last three digits - 915 are not divisible by 8)

3) 2240

1. Divisible by 2 (0 is an even number)
2. Divisible by 4 (40 is divisible by 4)
3. Divisible by 5 ( 0 is the last digit)
4. Divisible by 8 (240 - last three digits are divisible by 8)

4) 3560

1. Divisible by 2 (0 is an even number)
2. Divisible by 4 (60 is divisible by 4)
3. Divisible by 5 ( 0 is the last digit )
4. Divisible by 8 (560 - last three digits are divisible by 8)