Multiples of 3
The multiples of 3 are the numbers, which are obtained by multiplying 3 with any natural numbers. In other words, the multiples of 3 are the numbers that leave the remainder value of 0, when it is divided by 3. Some of the examples of multiples of 3 are 6, 15, 27, 36, etc. For example, 4 multiplied by 3 is 12 and hence 12 is a multiple of 3. In general, the multiples and factors of a number are interrelated topics. Here, we are going to learn what are the multiples of 4, a list of multiples of 4 and many solved examples in a detailed way.
What are the Multiples of 3?
Any number that can be denoted in the form 3n where n is an integer is the multiples of 3. So if two values p and q are there, we say that q is a multiple of p if q = np for some integer n. In other words, the multiples of 3 are the numbers that leave no remainder (i.e. Remainder = 0), when it is divided by 3.
First 10 Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 |
For example, 9, 12, 21 and 36 are all multiples of 3 for the following reasons.
9 | = | 3 | x | 3 |
12 | = | 3 | x | 4 |
21 | = | 3 | x | 7 |
36 | = | 3 | x | 12 |
(i.e) 9/3 = 3 and remainder is 0
12/3 = 4 and remainder is 0
21/3 = 7 and remainder is 0.
36/3 = 12 and remainder is 0.
Since the numbers are exactly divided by 3, the numbers 9, 12, 21, 36 are multiples of 3.
Is 0 a multiple of 3?
Yes, zero is a multiple of every number. So, 0 is a multiple of 3. Also, 3 x 0 = 0.
First 20 Multiples of 3
The following table shows the list of first 20 multiples of 3:
Multiplication of 3 with Natural Numbers | Multiples of 3 |
3 x 1 | 3 |
3 x 2 | 6 |
3 x 3 | 9 |
3 x 4 | 12 |
3 x 5 | 15 |
3 x 6 | 18 |
3 x 7 | 21 |
3 x 8 | 24 |
3 x 9 | 27 |
3 x 10 | 30 |
3 x 11 | 33 |
3 x 12 | 36 |
3 x 13 | 39 |
3 x 14 | 42 |
3 x 15 | 45 |
3 x 16 | 48 |
3 x 17 | 51 |
3 x 18 | 54 |
3 x 19 | 57 |
3 x 20 | 60 |
Multiples of 3 Examples
Example 1:
Find out the multiples of 3 from the list of numbers 16, 12, 22, 28, 31, 33, 42.
Solution:
Given: List of numbers are 16, 12, 22, 28, 31, 33, 42.
We know that the multiples of 3 are the numbers that are exactly divisible by 3.
Hence, the multiples of 3 are 12, 33 and 42
But the numbers 16, 22, 28, and 31 are not the multiples of 3 as they leave some remainder value.
Example 2:
What is the least common multiple of 3 and 6?
Solution:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60.
Hence, the least common multiple of 3 and 6 is 6.
Related Links | |
Multiples of 4 | Multiples of 5 |
Multiples of 6 | Multiples of 7 |
Multiples of 8 | Multiples of 9 |
Multiples of 12 | Multiples of 15 |
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Frequently Asked Questions on Multiples of 3
What are the multiples of 3?
The multiples of 3 are the numbers that are obtained from multiplying 3 with the integers.
What are the first 10 multiples of 3?
The first 10 multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27 and 30.
What is the least common multiple of 3 and 9?
The least common multiple of 3 and 9 is 9.
Write the multiples of 3 between 1 and 20?
The multiples of 3 between 1 and 20 are 3, 6, 9, 12, 15 and 18.
Write the multiples of 3 between 40 and 50?
The multiples of 3 between 40 and 50 are 42, 45 and 48.