Question

Check the divisibility of 1632 by 6.
[3 marks]

Answer 1

If a number is divisible by 2 and it is also divisible by 3, then the number is divisible by 6 as well.
[0.5 mark]

Let's first check if 1632 is divisible by 2.
If a number is even or a number whose last digit is an even number i.e. 2, 4, 6, 8 including 0, it is always completely divisible by 2.
[0.5 mark]

Here, in 1632, the ones digit is 2, which is even number.
So, 1632 is divisble by 2
[0.5 mark]

Now, let's check if 1632 is divisible by 3.
A number is divisible by 3 if the sum of its digits is divisible by 3.
[0.5 mark]
Here, in 1632, the sum of digits is 1 + 6 + 3 + 2 = 12, which is divisible by 3.
So, 1632 is divisble by 3.
[0.5 mark]

So, 1632 is divisible by 2 as well as 3.
Hence 1632 is divisible by 6.
[0.5 mark]