Multiples of 2
2 is the smallest and only even prime聽number. Multiples of 2 are the product of 2 with聽 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聽based on multiples of 2.
- First five multiples of 2: 2,聽4, 6, 8 and聽10
- Prime Factorization of 2:聽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聽 multiplication tables.聽 Multiples聽of 2 are the聽 numbers聽that leave no remainder when divided by 2.These numbers are exactly divisible by 2.聽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聽 | Multiples of 2 |
---|---|
2 脳 1 | 2 |
2 脳 2 | 4 |
2 脳 3 | 6 |
2 脳 4 | 8 |
2 脳 5 | 10 |
2 脳 6 | 12 |
2 脳 7 | 14 |
2 脳 8 | 16 |
2 脳 9 | 18 |
2 脳 10 | 20 |
2 脳 11 | 22 |
2 脳 12 | 24 |
2 脳 13 | 26 |
2 脳 14 | 28 |
2 脳 15 | 30 |
2 脳 16 | 32 |
聽2 脳 17 | 34 |
2 脳 18 | 36 |
2 脳 19 | 38 |
2 脳 20 | 40 |
To understand the concept of finding multiples, let us take a few more examples.
- Multiples of 1聽- The first five multiples of 1聽are 1, 2, 3, 4 and 5聽
- Multiples of 3聽- The first five multiples of 3聽are 3, 6, 9, 12 and 15
- Multiples of 4聽- The first five multiples of 4 are 4, 8, 12, 16 and 20
- Multiples of 5聽- The first five multiples of 5聽are 5, 10, 15, 20, and 25
- Multiples of 20聽- The first five multiples of 20 are 20, 40, 60, 80, and 100
Important Notes
- The number 2聽has infinite multiples as it can be multiplied with any聽 whole聽number聽and we have infinite whole numbers.
- All the聽 even numbers聽are the multiples of 2.
Solved Examples on Multiples of 2
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Example 1 Serena is having a聽list of numbers: 12, 8, 36, 15, 24, 14, 18.聽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聽are the multiples of 2 and 3 both.
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Example 2聽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聽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聽脳 2 = $ 28.
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Interactive Questions
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FAQs on聽multiples of 2
What are the multiples of 2?
The multiples of 2 are聽2,聽4, 6, 8, 10聽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聽20.
What is the smallest common multiple聽of 2 and 5?
The smallest common multiple聽of 2 and 5 is 10.
Is 2 a composite number?
No, 2 is a prime聽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聽multiples.
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