Multiples of 2
We know that the number “2” is the smallest and only even prime number. Any numbers that can be exactly divided by 2 are multiples of 2. The multiple of 2 is the product of any natural number with 2. For example, 2 multiplied by 9 is 18, hence 18 is a multiple of 2. Some of the examples of multiples of 2 are 20, 44, 60, and so on. In this article, we are going to learn what are the multiples of 2, tables of multiples of 2 and solved examples with complete explanation.
What are Multiples of 2?
In simple words, the multiples of 2 are the numbers that leave no remainder (i.e. Remainder = 0), when it is divided by 2. It means, the numbers that are exactly divided by 2 are the multiples of 2.
| First 10 Multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. |
In other words, any number that can be denoted in the form 2n where n is a natural number is a multiple of 2. So if two values p and q are there, we say that q is a multiple of p if ‘q = np’ for some natural number n.
For example, 80, 60, 20 and 16 are all multiples of 2 for the following reasons:
| 80 | = | 2 | x | 40 |
| 60 | = | 2 | x | 30 |
| 20 | = | 2 | x | 10 |
| 16 | = | 2 | x | 8 |
(i.e) 80/2 = 40, remainder = 0
60/2 = 30, remainder = 0
20/2 = 10, remainder = 0
16/2 =8, remainder = 0.
Since the numbers are exactly divided by 2, the numbers 80, 60, 20, 16 are the multiples of 2.
Also, read: Multiple of a Number
First 20 Multiples of 2
The list of first 20 multiples of 2 are as follows:
| Multiplication of 2 with natural numbers | Multiples of 2 |
| 2 x 1 | 2 |
| 2 x 2 | 4 |
| 2 x 3 | 6 |
| 2 x 4 | 8 |
| 2 x 5 | 10 |
| 2 x 6 | 12 |
| 2 x 7 | 14 |
| 2 x 8 | 16 |
| 2 x 9 | 18 |
| 2 x 10 | 20 |
| 2 x 11 | 22 |
| 2 x 12 | 24 |
| 2 x 13 | 26 |
| 2 x 14 | 28 |
| 2 x 15 | 30 |
| 2 x 16 | 32 |
| 2 x 17 | 34 |
| 2 x 18 | 36 |
| 2 x 19 | 38 |
| 2 x 20 | 40 |
Multiples of 2 Examples
Example 1:
Find the multiples of 2 from the list of numbers 5, 12, 6, 15, 21, 54, 48 and 61.
Solution:
Given that, the list of numbers: 5, 12, 6, 15, 21, 54, 48, 61.
We know that the multiples of 2 are the numbers that are exactly divided by 2.
Hence, the multiples of 2 are 12, 6, 54, 48.
Whereas, the numbers 5, 15, 21, 61 are not multiples of 2 as they leave the remainder value 1.
Example 2:
Akash receives Rs. 2 every day as pocket money. How many rupees does he receive in 1 week?
Solution:
We know that 1 week = 7 days
Hence, the pocket money received by Akash in 1 week = 7×2 = 14 Rupees.
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Frequently Asked Questions on Multiples of 2
What are the multiples of 2?
Mention the first 10 multiples of 2
What are some common multiples of 2 and 3?
The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, ….
Hence, some of the common multiples of 2 and 3 are 6, 12, 18, etc