What Are The Multiples Of 2? [Solved] - Cuemath

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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

1. 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.

2. 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.

3. 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.

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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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