Write a 3-digit number that is divisible by both 3 and 4. Explain how you know this number is divisible by 3 and 4.

108 is a 3 digit number which is divisible by both 3 and 4

Step-by-step explanation:

We have to write a 3 digit number which is divisible by both 3 and 4

From divisibility rule we know that when the sum of of number is divisible by 3 then the number is also divisible by 3

And if the last digit of number is divisible by 4 then number is also divisible by 4

If we take number 108 then the sum of digit = 1+0+8=9, as 9 is divisible by 3 so 108 will be also divisible by 3

And in 108 last digit is 8 which is divisible by 4 so 108 will be also divisible by 4

So 108 is a 3 digit number which is divisible by both 3 and 4

let us assume the 3 digit number be 984

To check weather the number is divisible by 3 and 4 then when should know the divisibility rule of 3 and 4.

A number is said to be divisible by 3 when the sum of each digit of the number is divisible by 3. Example 9+8+4 = 21 is divisible by 3 hence the number is divisible by 3.

A number is said to be divisible by 4 when the last two digit is divisible by 4 like 84 is divisible by 4 hence 984 is divisible by 4.