# Multiples of 2

The multiples of 2 are obtained by multiplying integers with 2. In this section, we will find the multiples of 2.  For more details about multiples, see our page “Multiples of a Number“.

#### What are Multiples of 2?

A number is called a multiple of 2 if it is completely divisible by 2 with the remainder zero. For example, 2 divides 4 completely, so by the definition 4 is a multiple of 2.

Similarly, 6, 8, 2, 12, 50, 100, 102, etc. are all examples of multiples of 2 as they are completely divisible 2.

Remark: From the above definition, it is clear that any multiple of 2 can be written as 2n for some integer n. So the set of multiples is given by

{2n: n is an integer}

#### First 10 Multiples of 2?

The first 2 multiples of 2 are as follows:

 2×1=2 2×2=4 2×3=6 2×4=8 2×5=8 2×6=12 2×7=14 2×8=16 2×9=18 2×10=20

So we have:

 The first 10 multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20.

Question: What are the first ten multiples of 2?

Video Solution:

#### Negative Multiples of 2

What are the negative multiples of 2? The negative multiples of 2 are obtained by multiplying 2 with a negative integer. As 2×(-1) = -2, we see that -2 is a multiple of 2. The first five negative multiples of 2 are -2, -4, -6, -8, and -10.

#### First 20 Multiples of 2

The first 20 multiples of 2 are given below:

 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

So the first 20 multiples of 2 are as follows:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38 and 40

#### Properties of Multiples of 2

2 is the only one even prime number. Also, note that it is the smallest prime number.

• Multiples of 2 are called even integers; otherwise, they are called odd integers.

• Even numbers are multiples of 2.

• Multiples of 2 always end with either 0, 2, 4, 6, or 8.

• A number ends with either 1, 3, 5, 7, or 9 cannot be a multiple of 2.