Question

Check the divisibilty of 192514 by 3,4 ,6 ,8 ,11

Answer 1

Answer:

DIVISIBILITY TEST OF THREE:

The divisibility test of three states that the sum of digits in a number should be divisible by three.

⇒1+9+2+5+1+4= 22

22 is not divisible by three, so 192514 is not divisible by three.

DIVISIBILITY TEST OF FOUR:

The divisibility test of four states that the last two digits of a number should be divisible by four, only then the number will be divisible by 4.

⇒ last 2 digits of the number= 14

14 is not divisible by 4, so 192514 is not divisible by 4.

DIVISIBILITY TEST OF SIX:

The divisibility test of six states that the number should be divisible by both two and three in order to be divisible by six.

192514 is divisible by 2 as the unit’s place digit is even. But it is not divisible by three (done before).

So, the number 192514 is not divisible by six.

DIVISIBILITY TEST OF EIGHT:

The divisibility test of eight is somewhat similar to that of four. But the only difference is that the last three digits of the number should be divisible by eight.

⇒ last three digits of the number= 514

Since 514 is not divisible by eight, the number 192514 is also not divisible by eight.

DIVISIBILITY TEST OF ELEVEN:

The divisibility test of eleven is a bit complex. But don’t worry, I will explain it to you.

Step 1:- First, we have to separate the digits at odd places in the number from the digits at even places.

Step 2:- We have to add the digits of both the sides in brackets.

Step 3:- Then we find the difference between both the sums.

Step 4:- If the difference is 0 or a multiple of 11, then the number is divisible by eleven.

O. E. O. E. O. E

1. 9. 2. 5. 1. 4

(O stands for odd and E stands for even.)

⇒ Digits at odd places= 4, 5, and 9

⇒ Digits at even places= 1, 2 and 1

Now, we follow the rest of the steps:

(4+5+9)- (1+2+1)

18- 4

14

14 is not a multiple of eleven and neither is the difference zero. So, 192514 is not divisible by eleven.

CONCLUSION:- We conclude that the given number, 192514, is not divisible by 3, 4, 6, 8 or 11.

Hope it helps.

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