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Question

Using divisibility tests, determine if given number is divisible by 6 :

1790184


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Solution

Rule for Divisibility by 6 : A whole number is said to be divisible by 6 if it fulfils the two conditions given below.

  • The given whole number should be divisible by 2. A number is divisible by2 if the digit on the units place of the number is even, i.e., it is 0,2,4,6,and8.
  • The given whole number should be divisible by 3. A number is divisible by 3 if the sum of all digits of the number is exactly divisible by 3.

Given number is 1790184.

As the given number ends with 4. Hence, the given number 1790184 is divisible by 2.

On adding all the digits of the given number, we obtain the sum as 30 which is divisible by 3. Hence, the given number 1790184 is divisible by 3

∴ The number 1790184 is divisible by both 2 and 3.

Hence, the given number 1790184 is divisible by 6.


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