Question

check the divisbilty of the following numbers by 6. (1) 61233 (2) 901352 (3) 438750. pls give the answer in steps​

Answer 1

Step-by-step explanation:

A number is divisible by another number if it leaves no remainder. Divisibility test helps us to check quickly if a number is divisible by another number or not.

Divisibility of numbers by 6

If a number is divisible by 2 & 3 , it is also divisible by 6..

or

A number is divisible by 6 which has 0,2,4,6,8 at its one place & sum of its digits is divisible by 3

---------------------------------------------------------------------------------------------------

Solution:

(a) 297144⇒ Divisible by 2 as its units place is an even number.

⇒Divisible by 3 as sum of its digits (= 27) is divisible by 3.

Since the number is divisible by both 2 and 3, therefore, it is also divisible by 6.

(b) 1258 ⇒ Divisible by 2 as its units place is an even number.

⇒Not divisible by 3 as sum of its digits (= 16) is not divisible by 3.

Since the number is not divisible by both 2 and 3, therefore, it is not divisible by 6.

(c) 4335⇒ Not divisible by 2 as its units place is not an even number.

⇒Divisible by 3 as sum of its digits (= 15) is divisible by 3.

Since the number is not divisible by both 2 and 3, therefore, it is not divisible by 6.

(d) 61233 ⇒Not divisible by 2 as its units place is not an even number.

⇒Divisible by 3 as sum of its digits (= 15) is divisible by 3.

Since the number is not divisible by both 2 and 3, therefore, it is not divisible by 6.

Answer 2

Step-by-step explanation:

The number which are divisible by both 2 & 3 then it will also be divisible by 6

So,

(1) 61233

to check if the number is divisible by 3 we need to add all the digit and check the divisibility

So (6+1+2+3+3) = 15

15 is divisible by 3 so the number will be divisible by 3

61233 last digit is not even number so it is not divisible by 2

Hence

61233 is not divisible by 6 as it is not divisible by 2

(2) 901352

to check if the number is divisible by 3 we need to add all the digit and check the divisibility

So (9+0+1+3+5+2) = 20

20 is not divisible by 3 so the number will not be divisible by 3

901352 last digit is even number so it is divisible by 2

Hence

901352 is not divisible by 6 as it is not divisible by 3

(3) 438750

to check if the number is divisible by 3 we need to add all the digit and check the divisibility

So (4+3+8+7+5+0) = 27

27 is divisible by 3 so the number will be divisible by 3

438750 last digit is even number so it is also divisible by 2

Hence

we can say that number 438750 is divisible by 6 as it is divisible by both 2 & 3

HOPE IT HELPS