Question

Using the divisibility test check if 297144 is divisible by 6 or not?​

Answer 1

$\Large{\bf{\green{\mathfrak{\dag{\underline{\underline{Given:-}}}}}}}$

• 297144 number.

$\Large{\bf{\orange{\mathfrak{\dag{\underline{\underline{To \: Find:-}}}}}}}$

• Check whether the number is divisible by 6 or not.

$\Large{\bf{\red{\mathfrak{\dag{\underline{\underline{Solution:-}}}}}}}$

• What do we know about the divisibility of 6?

• We know that,

• If a number is divided by 2 and also by 3 then the number is divisible by 6.

• Given number:- 297144

• First,

• Divisibility by 2,

• If a number ends with an even number or if the number ends with a number that is divisible by 2 then it is divisible by 2.

• 297144

• Since, the last digit is an even number.

• 29144 is divisible by 2.

• Now,

• Lets check for 3.

• If the sum of the digits in a number is divisible by 3 then the number is divisible by 3.

• 297144 = 2 + 9 + 7 + 1 + 4 + 4 = 27

• Since, the number 27 is divisible by 3.

• 297144 is divisible by 3.

• Since, the number 297144 is divisible by both 2 and 3.

Therefore,

• 297144 is divisible by 6.

Answer 2

Answer:

$\fbox\red{Question}$

Using the divisibility test check if 297144 is divisible by 6 or not?

$\fbox\red{To\:find}$

We have to check whether 297144 is divisible by 6 or not.

$\fbox\red{Formula}$

To check whether any number is divisible by 6, the formula to be used is:-

The number should be divisible by 2 and 3

$\fbox\red{Solution}$

The number is :- 297144

When any number ends with 0, 2, 4, 6 or 8 , the number is divisible by 2. In 297144 the last digit is 297144 and 4 is divisible by 2. Therefore, 297144 is divisible by 2.

When the sum of the digit of the numbers is divisible by 3 then the number is also divisible by 3.

297144 = 2 + 9 + 7 + 1 + 4 + 4 = 27

27 is divisible by 3.

•°• 297144 is divisible by both 2 and 3.

Hence Proved, 297144 is divisible by 6.