Multiples of 2
2 is the smallest and only even prime number. Multiples of 2 are the product of 2 with natural numbers. Interestingly, all even numbers are the multiples of 2. In this mini-lesson, we will find the multiples of 2 up to 20 times and see some interactive questions and solved examples based on multiples of 2.
- First five multiples of 2: 2, 4, 6, 8 and 10
- Prime Factorization of 2: 2
1. | What are the Multiples of 2? |
2. | First 20 Multiples of 2 |
3. | Important Notes |
4. | FAQs on Multiples of 2 |
What are the Multiples of 2?
Let us recall a little about multiplication tables. Multiples of 2 are the numbers that leave no remainder when divided by 2.These numbers are exactly divisible by 2. Examples: 2, 4, 6, 20, 32, 46, etc.
List of the First 20 Multiples of 2
Let's list the first 20 multiples of 2:
Multiplication | Multiples of 2 |
---|---|
2 × 1 | 2 |
2 × 2 | 4 |
2 × 3 | 6 |
2 × 4 | 8 |
2 × 5 | 10 |
2 × 6 | 12 |
2 × 7 | 14 |
2 × 8 | 16 |
2 × 9 | 18 |
2 × 10 | 20 |
2 × 11 | 22 |
2 × 12 | 24 |
2 × 13 | 26 |
2 × 14 | 28 |
2 × 15 | 30 |
2 × 16 | 32 |
2 × 17 | 34 |
2 × 18 | 36 |
2 × 19 | 38 |
2 × 20 | 40 |
To understand the concept of finding multiples, let us take a few more examples.
- Multiples of 1 - The first five multiples of 1 are 1, 2, 3, 4 and 5
- Multiples of 3 - The first five multiples of 3 are 3, 6, 9, 12 and 15
- Multiples of 4 - The first five multiples of 4 are 4, 8, 12, 16 and 20
- Multiples of 5 - The first five multiples of 5 are 5, 10, 15, 20, and 25
- Multiples of 20 - The first five multiples of 20 are 20, 40, 60, 80, and 100
Important Notes
- The number 2 has infinite multiples as it can be multiplied with any whole number and we have infinite whole numbers.
- All the even numbers are the multiples of 2.
Solved Examples on Multiples of 2
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Example 1 Serena is having a list of numbers: 12, 8, 36, 15, 24, 14, 18. Can you help her to find out the numbers that are multiples of 2 and 3 both?
Solution
We know that all even numbers are multiples of 2 and the sum of digits of a number is divisible by 3 are the multiples of 3.Therefore, 12, 36, 18, and 24 are the multiples of 2 and 3 both.
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Example 2 Find the number which fits all these statements:
It is even.
It is a multiple of 2 and 7
It lies between 40 and 50
Solution
Multiples of 2 between 40 and 50 are 42, 44, 46, 48. Multiples of 7 between 40 and 50 are 42 and 49.The common even multiple of 2 and 7 is 42. Hence, the even multiple of 2 and 7 that lies between 40 and 50 is 42.
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Example 3 If John receives $2 every day as pocket money then how many dollars does he receive in 2 weeks?
Solution
Pocket money received by John each day = $2
Now, 2 weeks = 14 days
Therefore, pocket money received by John in 14 days = 14 × 2 = $ 28.
FAQs on multiples of 2
What are the multiples of 2?
The multiples of 2 are 2, 4, 6, 8, 10 and so on.
What are the first 10 multiples of 2?
The first 10 multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20.
What is the smallest common multiple of 2 and 5?
The smallest common multiple of 2 and 5 is 10.
Is 2 a composite number?
No, 2 is a prime number because it has only 2 factors 1 and 2.
What is the highest multiple of 2?
We cannot determine the highest multiple of 2 since numbers are infinite and so are their multiples.
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