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“.

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## 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 of 2 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 that ends with either 1, 3, 5, 7, or 9 cannot be a multiple of 2.

This article is written by Dr. T. Mandal, Ph.D in Mathematics. On Mathstoon.com you will find Maths from very basic level to advanced level. Thanks for visiting.