# What is the smallest prime number and why?

1 is the

**smallest**natural**number**but it has only 1**factor**that is 1 itself. Therefore, 1 cannot be considered as a**prime number**. Next**number**2 is the**smallest**even**prime number**. as 1×1=1,so it is not**prime no**.A.

### Why is the number 1 not a prime number?

Answer

**One**: By definition of**prime**! An integer greater than**one**is called a**prime number**if its only positive divisors (factors) are**one**and itself.#### Why is zero an even number?

Zero is an**even number**. As a result, zero shares all the properties that characterize**even numbers**:**0**is divisible by 2,**0**is neighbored on both sides by odd**numbers**,**0**is the sum of an integer (**0**) with itself, and a set of**0**objects can be split into two equal sets.#### What do you call 1 if it is not a prime number?

The current definition of a**prime number**is a positive integer greater than**1**(i.e. the counting**numbers**2, 3, 4, 5, etc.) whose only divisors are**1**and itself. A composite**number**is a positive integer greater than**1**which is**not prime**. Zero is**not**positive, so it falls outside the**prime**/composite categorization.#### Why is the number 1 not a prime number?

Answer**One**: By definition of**prime**! An integer greater than**one**is called a**prime number**if its only positive divisors (factors) are**one**and itself.

B.

### Is the number 1 prime composite or neither?

A

**natural**number (i.e. 1, 2, 3, 4, 5, 6, etc.) is called a prime number (or a prime) if it has exactly two positive**factors**, 1 and the number itself.**Natural**numbers that have more than two positive**factors**are called composite. 1 has only one positive**factor**i.e. no.1 only. Hence 1 is neither prime nor composite.#### Is every number is a factor of 1?

1 is the smallest factor of a multiple and the greatest factor of a multiple is the multiple itself. Property (**4**): Every number other than 1 has at least**two**factors, namely the number itself and 1.#### Is the number 1 a prime number?

Why some people say it's not prime: It doesn't have exactly**two**positive divisors. The statement "1 is prime" is false false . Proof: The definition of a prime number is a positive integer that has exactly**two**positive divisors. However, 1 only has one positive divisor (1 itself), so it is not prime.#### Is the number 81 a composite number?

A**composite number**is a**number**that can be divided evenly by more**numbers**than 1 and itself. It is the opposite of a prime**number**. The**number 81**can be evenly divided by 1, 3, 9, 27 and**81**, with no remainder. Since**81**cannot be divided by just 1 and**81**, it is a**composite number**.

C.

### What is the lowest composite number?

A composite number is a positive integer which is not prime (i.e., which has

**factors**other than 1 and itself). The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, (OEIS A002808), whose prime decompositions are summarized in the following table.#### What is the smallest even number?

So 0 is the**smallest**positive**even number**. In Mathematics, an**even number**is defined as an Integer which can be expressed in the form of 2k, where 'k' is any non-negative integer. The**number**0 easily holds the property to be the non-negative integer k. Thus we get an**even number**x .#### What are the prime factors?

A**factor**that is a**prime**number. In other words: any of the**prime**numbers that can be multiplied to give the original number. Example: The**prime**factors of 15 are 3 and 5 (because 3×5=15, and 3 and 5 are**prime**numbers). See:**Prime**Number.**Prime**Factorization.#### What is the difference between prime and composite numbers?

Summary: A**prime**number has only two factors: 1 and itself. A**composite**number has more than two factors. The number 1 is neither**prime**nor**composite**. The**prime numbers between**2 and 31 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 and 31 since each of these**numbers**has only two factors, itself and 1.

Updated: 29th September 2018