Question

Using divisibility tests, determine whether 144279 is divisible by 6 or not.​

Answer 1

Answer:

No

It's not divisible by 6

Answer 2

Given,

Main number = 144279

To find,

The main number is divisible by 6 or not (using divisibility tests).

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

A number is divisible by 6, when it is divisible by both 3 and 2.

Now,

A digit is divisible by 2, only if it's last digit (unit place's) is even (0 or 2 or 4 or 6 or 8). In the given number the last digit (ie. 9) is not even.

And,

A number is divisible by 3 only if, the sum of its digits is divisible by 3.

Sum of digits = (1+4+4+2+7+9) = 27

27 is divisible by 3 (ie. 3×9 = 27)

So,

144729 is divisible by 3 but not divisible by 2.

To become, divisible by 6, a number has to be divisible by both 3 and 2.

Hence, 144729 is not divisible by 6