Subscribe to our YouTube channel for the latest videos, updates, and tips.
Home | About Us | Contact Us | Privacy | Math Blog
Divisible by 3
A number is divisible by 3, if the sum of its all digits is a multiple of 3 or divisibile by 3.
Consider the multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, .........
|
Number |
Sum of the Digits |
|
12 15 18 21 24 27 |
1 + 2 = 3 1 + 5 = 6 1 + 8 = 9 2 + 1 = 3 2 + 4 = 6 2 + 7 = 9 |
Divisibility Rule for 3 Video
Subscribe to our YouTube channel for the latest videos, updates, and tips.
In each case the sum of the digits is divisible by 3.
A number is divisible by 3 if the sum of its digits is divisible by 3.
1. Let us consider the following numbers to find whether the numbers are divisible or not divisible by 3:
(i) 54
Sum of all the digits of 54 = 5 + 4 = 9, which is divisible by 3.
Hence, 54 is divisible by 3.
(ii) 73
Sum of all the digits of 73 = 7 + 3 = 10, which is not divisible by 3.
Hence, 73 is not divisible by 3.
(iii) 137
Sum of all the digits of 137 = 1 + 3 + 7 = 11, which is not divisible by 3.
Hence, 137 is not divisible by 3.
(iv) 231
Sum of all the digits of 231 = 2 + 3 + 1 = 6, which is divisible by 3.
Hence, 231 is divisible by 3.
(v) 194
Sum of all the digits of 194 = 1 + 9 + 4 = 14, which is not divisible by 3.
Hence, 194 is not divisible by 3.
(vi) 153
Sum of all the digits of 153 = 1 + 5 + 3 = 9, which is divisible by 3.
Hence, 54 is divisible by 3.
(vii) 171
Sum of all the digits of 171 = 1 + 7 + 1 = 9, which is divisible by 3.
Hence, 171 is divisible by 3.
(viii) 277
Sum of all the digits of 277 = 2 + 7 + 7 = 16, which is not divisible by 3.
Hence, 277 is not divisible by 3.
(ix) 276
Sum of all the digits of 276 = 2 + 7 + 6 = 15, which is divisible by 3.
Hence, 276 is divisible by 3.
(x) 179
Sum of all the digits of 179 = 1 + 7 + 9 = 17, which is not divisible by 3.
Hence, 179 is not divisible by 3.
2. Is 756 divisible by 3?
7 + 5 + 6 = 18 (18 is a multiple of 3)
Hence 756 is divisible by 3
We can verify that 756 is divisible by 3 by actual division.
3. In the number 46 * 8782, replace * by (i) a smallest digit and (ii) a largest digit to make it divisible by 3.
Solution:
The sum of the digits in the number 46 * 8782 = 4 + 6+ 8 + 7 + 8 + 2 = 35
(i) The number next to 35 which is divisible by 3 = 36.
Therefore, * is to be replaced by 1 i.e., 36 - 35 = 1;
Hence, the smallest digit 1 replaces * so as to make the number 4618782 divisible by 3.
(ii) We know that 35 + 7 = 42, which is divisible by 3.
Hence, the required largest digit 7 replaces * so as to make the number 4678782 divisible by 3.
Worksheet on Divisible by 3:
1. Fill the correct lowest possible digit in the blank space to make the number divisible by 3.
(i) 16335_
(ii) 20_984
(iii) 8422_1
(iv) 749_261
(v) 999_32
(vi) 1_7073
Answer:
1. (i) 3
(ii) 4
(iii) 1
(iv) 1
(v) 1
(vi) 3
2. Which of the following numbers are divisible by 3?
(i) 875
(ii) 729
(iii) 3647
(iv) 8504
(v) 111
(vi) 3732
(vii) 6425
(viii) 963
Answer:
2. (ii) 729
(v) 111
(vi) 3732
(viii) 963
You might like these
Highest Common Factor |Find the Highest Common Factor (H.C.F)|Examples
Highest common factor (H.C.F) of two or more numbers is the greatest number which divides each of them exactly. Now we will learn about the method of finding highest common factor (H.C.F). Steps 1: Find all the factors of each given number. Step 2: Find common factors of the
Prime Factorisation |Complete Factorisation |Tree Factorisation Method
Prime factorisation or complete factorisation of the given number is to express a given number as a product of prime factor. When a number is expressed as the product of its prime factors, it is called prime factorization. For example, 6 = 2 × 3. So 2 and 3 are prime factors
Multiples and Factors | Infinite Factors | Multiply Counting Numbers
We will discuss here about multiples and factors and how they are related to each other. Factors of a number are those numbers which can divide the number exactly. For example, 1, 2, 3 and 6 are
Divisible by 2 Video |Test of Divisibility by 2 Trick| Rules| Examples
A number is divisible by 2 if the digit at unit place is either 0 or multiple of 2. So a number is divisible by 2 if digit at its units place is 0, 2, 4, 6 or 8.
Divisible by 4 | Test of Divisibility by 4 Trick | Rules | Video
A number is divisible by 4 if the number is formed by its digits in ten’s place and unit’s place (i.e. the last two digits on its extreme right side) is divisible by 4. Consider the following numbers which are divisible by 4 or which are divisible by 4, using the test of
Divisible by 5 | Rules for Test of divisibility by 5 | Video |Examples
Divisible by 5 is discussed below: A number is divisible by 5 if its units place is 0 or 5. Consider the following numbers which are divisible by 5, using the test of divisibility by
Divisible by 6 | Rules for Test of Divisibility by 6 Video | Examples
Divisible by 6 is discussed below: A number is divisible by 6 if it is divisible by 2 and 3 both. Consider the following numbers which are divisible by 6, using the test of divisibility by 6: 42
Divisible by 8 | Test of Divisibility by 8 |Rules of Divisibility by 8
Divisible by 8 is discussed below: A number is divisible by 8 if the numbers formed by the last three digits is divisible by 8. Consider the following numbers which are divisible by 8
Divisible by 7 | Test of Divisibility by 7 |Rules of Divisibility by 7
Divisible by 7 is discussed below: We need to double the last digit of the number and then subtract it from the remaining number. If the result is divisible by 7, then the original number will also be
Divisible by 9 | Test of Divisibility by 9 | Rules | Video | Examples
A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9. Consider the following numbers which are divisible by 9, using the test of divisibility by 9:
Divisible by 10 | Test of Divisibility by 10 Video | Rules | Examples
Divisible by 10 is discussed below. A number is divisible by 10 if it has zero (0) in its units place. Consider the following numbers which are divisible by 10, using the test of divisibility by 10:
Least Common Multiple |Lowest Common Multiple|Smallest Common Multiple
The least common multiple (L.C.M.) of two or more numbers is the smallest number which can be exactly divided by each of the given number. The lowest common multiple or LCM of two or more numbers is the smallest of all common multiples.
Multiples | Multiples of a Number |Common Multiple|First Ten Multiples
What are multiples? ‘The product obtained on multiplying two or more whole numbers is called a multiple of that number or the numbers being multiplied.’ We know that when two numbers are multiplied the result is called the product or the multiple of given numbers.
Even and Odd Numbers Between 1 and 100 | Even and Odd Numbers|Examples
All the even and odd numbers between 1 and 100 are discussed here. What are the even numbers from 1 to 100? The even numbers from 1 to 100 are:
Test of Divisibility | Divisibility Rules| Divisible by 2, 3, 5, 9, 10
The test of divisibility by a number ‘x’ is a short-cut method to detect whether a particular number ‘y’ is divisible by the number ‘x’ or not. Test of divisibility by 2: A number is divisible by 2
Problems on Divisibility Rules
Worksheet on Divisibility Rules
5th Grade Math Problems
From Divisible by 3 to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math
Jul 11, 25 02:14 PM
In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl… -
Construction of a Circle | Working Rules | Step-by-step Explanation |
Jul 09, 25 01:29 AM
Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be… -
Combination of Addition and Subtraction | Mixed Addition & Subtraction
Jul 08, 25 02:32 PM
We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add -
Addition & Subtraction Together |Combination of addition & subtraction
Jul 08, 25 02:23 PM
We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and… -
5th Grade Circle | Radius, Interior and Exterior of a Circle|Worksheet
Jul 08, 25 09:55 AM
A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.