Is 2 is a prime number? Yes, 2 is a prime number. It is known that whole numbers can be classified into prime numbers or composite numbers based on the number of factors. In this article, we will discuss whether 2 is a prime number or a composite number.

Table of Contents

**Is 2 a Prime Number?**

A prime number has only two factors: 1 and the number itself. We know that the factors of a number are the divisors of the number.

Note that 2 is divisible by 1 and 2 only.

So the factors of 2 are 1 and 2.

∴ 2 is a prime number. Note that 2 is the smallest and only even prime number.

**Is 2 a Composite Number?**

It is known that a composite number has more factors other than 1 and the number itself. As 2 has only two factors: 1 and the number 2 itself, we deduce that

2 is not a composite number.

**Also Read: Is 11 a prime number**

**Nature of the Number 2**

- 2 is the smallest prime number
- 2 is the only even prime number
- 2 is an even number; but not an odd number
- 2 is the second natural number

**Facts about 2:**

Is 2 a prime number? | Yes, 2 is a prime number. |

Is 2 a composite number? | No, 2 is not a composite number. |

Square of 2 | 2^{2 }= 2×2 = 4 |

Square root of 2 | √2 = 1.414 |

Cube root of 2 | $\sqrt[3]{2}=1.2599$ |

Is 2 a perfect square? | As the square root of 2 is not a whole number, 2 is not a perfect square. |

Is 2 a perfect cube? | As the cube root of 2 is not a whole number, 2 is not a perfect cube. |

Is 2 an even number? | As 2 is divisible by 2, we deduce that 2 is an even number. |

Is 2 an odd number? | As 2 divides 2, the number 2 is not an odd number. |

Multiples of 2 | The first five multiples of 2 are 2, 4, 6, 8, and 10. |

Divisors of 2 | 1 and 2 |

Factors of 2 | 1 and 2 |

Prime factors of 2 | 2 is the only prime factor of 2 |

Prime divisor of 2 | 2 is the only prime divisor of 2 |

Related Topics |

## FAQs

**Q1: Is 2 a prime number or not?**

Answer: Yes, 2 is a prime number.

**Q2: Is 2 a composite number or not?**

Answer: No, 2 is not a composite number. It is a prime number.

**Q3: What is the smallest prime number?**

Answer: 2 is the smallest prime number.

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.