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Is 144 a multiple of 9? Give reasons.

Answer
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Hint: In this question, we are asked whether 144 is a multiple of 9 or not. Or, whether 144 is completely divisible by 9 or not. There are many approaches to answer this question. Use the divisibility rule to answer. A number is said to be divisible by 9 if the sum of its digits is divisible by 9. Find the sum of the digits of 144. If the sum is divisible, the number is divisible, otherwise not.

Complete step-by-step answer:
There are multiple ways to solve this question. Let us look at a few of them.
Using the method solving by divisibility rule:
The divisibility rule of 9 says that the sum of the digits of the number should be divisible by 9.
For example: Let’s take a number- 94356
Sum of the digits = 9+4+3+5+6=27
Now since 27 is divisible by 9, the number 94356 is also divisible by 9.
Now, we will use this method to find whether 144 is a multiple of 9 or not.
Sum of the digits= 1+4+4=9

Since 9 is divisible by itself, 144 is also divisible by 9.

Note: The another way of solution,
Using the method finding factors of the given number.
In this method, we will simply find the factors of 144 and check whether the factors are making 9 or not.
144=2×2×2×2×3×3
144=24×32
We know that 32=9 and 32 is also a factor of 144. Therefore, 144 is divisible by 9.
3) Simply dividing.
To find whether 144 is a multiple of 9 or not, we can simply divide 144 by 9 and check. If the remainder is 0, then 144 is divisible by 9.
144=9×16+0 (written in the format- Dividend=Divisor×Quotient+Remainder
Since the remainder is 0, 144 is divisible by 9.
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