
Is 144 a multiple of 9? Give reasons.
Answer
440.1k+ views
19 likes
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-
Sum of the digits =
Now since 27 is divisible by 9, the number 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=
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 and check whether the factors are making or not.
We know that and is also a factor of . 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.
(written in the format-
Since the remainder is 0, 144 is divisible by 9.
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-
Sum of the digits =
Now since 27 is divisible by 9, the number
Now, we will use this method to find whether 144 is a multiple of 9 or not.
Sum of the digits=
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
We know that
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.
Since the remainder is 0, 144 is divisible by 9.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 9 General Knowledge: Engaging Questions & Answers for Success

Master Class 9 English: Engaging Questions & Answers for Success

Master Class 9 Science: Engaging Questions & Answers for Success

Master Class 9 Social Science: Engaging Questions & Answers for Success

Master Class 9 Maths: Engaging Questions & Answers for Success

Class 9 Question and Answer - Your Ultimate Solutions Guide

Trending doubts
Difference Between Plant Cell and Animal Cell

What is the Full Form of ISI and RAW

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Discuss what these phrases mean to you A a yellow wood class 9 english CBSE

Name 10 Living and Non living things class 9 biology CBSE

Name the states which share their boundary with Indias class 9 social science CBSE
