Question

Q13Check divisibility of 297144 by 5,9,11 and 6 using divisibility rule.​

Answer 1

Step-by-step explanation:

it is not divisible by 5 because last digit is not 5 or 0

2 + 9 + 7 + 1 + 4 + 4 = 27 is divisible by 9. hence divisible

2+7+1 = 10

9+4+4 = 17

17-10=7 is not divisible by 11. hence,not divisible

divisible by 2 and 3?

yes

hence, divisible by 6

Answer 2

divisibility by 5

297144

since the units place of the given number is not ending with 5 or 0,

the number is not divisible by 5.

hence ,297144 is not divisible by 5.

divisibility by 9

297144

sum of the digits of  the given number = 2+9+7+1+4+4

                                                                   =27

since the sum of the digits of the given number is a multiple of 9, the given number is divisible by 9.

hence 297144 is divisible by 9.

divisibility by 11

297144

sum of digits at odd places =   2+7+4 = 13

sum of digits at even places = 9+1+4 = 14

difference=14-13

                =1

since the difference between the odd and even digits of the number is -1 which  is not a multiple of 11,

hence, the number  297144 is not divisible by 11.

divisibility by 6

297144

divisibility by 2

since the given number's unit digit is a even number the number 297144 is divisible by 2.

hence, 297144 is divisible by 2

divisibility by 3

297144

sum of the digits of  the given number = 2+9+7+1+4+4

                                                                   =27

since the sum of the digits of the given number is a multiple of 3, the given number is divisible by 3.

hence 297144 is divisible by 3.

since the number is divisible by both 2 and 3 the number will also be divisible by 6.

hence 297144 is divisible by 6.

hope it helps you

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