What is the smallest odd prime? Is every odd number a prime number? If not, give an example of an odd number which is not prime. (2024)

Complete step-by-step answer:

Those numbers are said to be prime, which have only two factors namely ‘1’ and itself.

And odd numbers are those numbers which are not divisible by 2.

We have to find the smallest odd prime number. So, let us list the first ten odd numbers.

First ten odd numbers: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19.

The smallest odd number is ‘1’. ‘1’ is neither a prime number nor a composite number by convention.

The next smallest odd number is ‘3’.

Factors of 3 = 1, 3.

There are only two factors of ‘3’- ‘1’ and ‘3’ (itself). So, ‘3’ is a prime number.

Hence, the smallest odd prime number is 3.

Now, let us check the number of factors of other prime numbers.

Let us take ‘9’. ‘9’ is not divisible by ‘2’. So, ‘9’ is an odd number.

Factors of 9 = 1, 3, 9.

‘9’ has more than two factors. So, it is not a prime number.

So, we can conclude that every odd number is not a prime number.

An example of an odd number which is not prime is - ‘9’. (As discussed above)

Note: Students can make mistakes by taking ‘1’ as the smallest odd prime number. But by convention ‘1’ is neither considered as a prime number nor a composite number. Prime numbers are defined to have exactly two factors and composite numbers are defined to be more than two factors. ‘1’ has only one factor -‘1’. So, it doesn’t follow the definition of either prime numbers or composite numbers and thus it is considered neither prime nor composite.

What is the smallest odd prime? Is every odd number a prime number? If not, give an example of an odd number which is not prime. (2024)

FAQs

What is the smallest odd prime number? ›

The smallest odd prime number is three. The distinctive composition of prime numbers with arithmetic powers can be used to represent any number. If a number contains only two factors, 1 and the number itself, it is said to be prime.

What is an odd number that is not a prime number? ›

Composite odd numbers are those odd numbers that are not prime numbers. These types of odd numbers are formed by the product of two smaller positive odd integers. The composite odd numbers from 1 to 100 are 9, 15, 21, 25, 27, 33, 35, 39, 45, 49, 51, 55, 57, 63, 65, 69, 75, 77, 81, 85, 87, 91, 93, 95, and 99.

Which is the smallest odd number? ›

Smallest odd whole number is 1 .

What is an example of an odd number that is prime? ›

Answer: There are in total 24 odd prime numbers present in between 1- 100. The numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97. Here, 2 is the only even number which is considered a prime number.

What is the 1 smallest prime number? ›

What is the smallest prime number? 2 is the smallest prime number. It also the only even prime number – all other even numbers can be divided by themselves, 1 and 2 at least, meaning they will have at least 3 factors.

Why 3 is the smallest odd prime number? ›

Smallest Odd Prime Number: Among all odd numbers, the smallest one that is also a prime number is 3. This is because 3 is not divisible by any other positive integer except 1 and itself. It is the first odd number greater than 1 that satisfies the definition of a prime number.

Why is 11 not a prime number? ›

Yes, 11 is a prime number. The number 11 is divisible only by 1 and the number itself. For a number to be classified as a prime number, it should have exactly two factors. Since 11 has exactly two factors, i.e. 1 and 11, it is a prime number.

Are all odd numbers prime or prime? ›

Answer and Explanation:

All prime numbers are odd, except the number 2. That is because all prime numbers are numbers that can only be divided evenly by itself and 1.

Why is 2 a prime number? ›

According to the definition of prime numbers, any whole number which has only 2 factors is known as a prime number. Now, the factors of 2 are 1 and 2. Since there are exactly two factors of 2, it is a prime number.

Is 1 the smallest odd number and there is no odd number? ›

There are a total of 500 odd numbers from 1 to 1000. We know that odd numbers always end with an odd digit such as 1, 3, 5, 7, and 9. Therefore, the smallest odd number in this range of 1 to 1000 is 1 and the largest odd number is 999.

What is the smallest odd number from 1 to 100? ›

Even and Odd Numbers 1 to 100

The list of odd numbers from 1 to 100 can be given as follows: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99.

Is the smallest odd prime number 3 True or false? ›

3 is the smallest odd prime number.

Are all odd numbers prime, yes or no? ›

Another fact to keep in mind is that all primes are odd numbers except for 2. Prime numbers include: 2,3,5,7,11,13,17,19… and so on. Any number that is not prime is called a composite number. Let's take a look at an example.

What number is both odd and prime? ›

We have already mentioned that the numbers three, five, seven, and 11 are both odd and prime. There are two other odd numbers between one and 12, the numbers one and nine. And there is one other prime number, the number two. The numbers four, six, eight, 10, and 12 are neither odd nor prime.

Is 1 odd prime numbers? ›

The number one is neither prime nor composite. Two is the only even number that is a prime. It's the smallest prime number. All prime numbers, except for 2, are odd numbers.

What is the most odd prime number? ›

Any prime number other than 2 (which is the unique even prime). Humorously, 2 is therefore the "oddest" prime.

Is 0 an odd number? ›

Zero is an even number. In other words, its parity—the quality of aninteger being even or odd—is even. The simplest way to prove that zero iseven is to check that it fits the definition of "even": it is an integermultiple of 2, specifically 0 × 2.

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