Math, asked by ravendrasoni2000, 15 hours ago

Q:- Check whether the given number is divisible by 2, 3, 4, 5, 6, 7,
8, 9 and 10.

• 8136​

Answers

Answered by amitnrw
1

Given :  Number 8136

To Find : whether the given number is divisible by 2, 3, 4, 5, 6, 7,

8, 9 and 10.

Solution:

8136

Number is divisible by 2 if unit digit is 0 , 2 ,4  , 6 or 8

8136 , unit digit is 6 hence divisible by 2

Number is divisible by 3 if sum of digits is divisible by 3

8 + 1 + 3 + 6 = 18 is divisible by 3

Hence 8136 is divisible by 3

Number is divisible by 4 if  number formed by last 2 digits is divisible by 4

36 is divisible by 4

Hence Hence 8136 is divisible by 3

A number is Divisible by 5 if unit digit is 5 or 0

Hence 8136 is not divisible by 5

A number is Divisible by 6 if it is divisible by 2 and 3 both

As 8136 is divisible by 2 and 3 hence its divisible by 6 also

Divisibility by 7  

last digit of the number multiplied by 2 and subtracted from the rest of the number leaving the last digit

813 - 6 * 2  = 801      

80 - 1 * 2  =  78   not divisible by 7

Hence 8136 is not divisible by 7

Number is divisible by 8 if  number formed by last 3 digits is divisible by 8

136 is divisible by 8

Hence Hence 8136 is divisible by 8

Number is divisible by 9 if sum of digits is divisible by 9

8 + 1 + 3 + 6 = 18 is divisible by 9

Hence 8136 is divisible by 9

A number is Divisible by 10 if unit digit is  0

Hence 8136 is not divisible by 0

8136 Divisible by

2 , 3 , 4 , 6 , 8 , 9

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