It is believed that good things come in pairs.
The number 2 represents 2 units or a pair.
The binary number system, also known as a base-2 system, is the foundation of all the coding and technology.
We know that the human body has a great connection with the number '2'. We have 2 eyes, 2 ears, 2 hands, and so on.
Now, let's learn some math behind this number. Let's find out if 2 a prime number.
What Is a Prime Number?
A prime number is a natural number that has no factors other than 1 and itself.
In other words, it is divisible only by 1 and itself.
Example: 2,3,5,7,11 and so on.
Is 2 a Prime Number?
Let us look at the factors of 2
The factors of 2 are 1 and 2, that is, no other factors other than 1 and itself.
So, 2 is a prime number.
Considering the above explanation, is 3 a prime number?
Let's find out!
The factors of 3 are 1 and 3, that is, no other factors other than 1 and itself.
So, 3 is a prime number.
Is 2 a Composite Number?
2 is the only even prime number.
All even numbers are composite, except 2
Kate says "All odd numbers are prime numbers."
Do you agree with her? Explain with a suitable example.
All odd numbers are not prime numbers.
Let us take the example of 9.
Even though 9 is an odd number, it has 1, 3, and 9 as its factors.
So, it is a composite number.
A few other examples of odd composite numbers are 15, 21, 27, and so on.
|Kate's statement is not true.|
List the first ten prime numbers.
Using divisibility rules, we can list the first ten prime numbers as:
|2, 3, 5, 7, 11, 13, 17, 19, 23, 29|
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Frequently Asked Questions (FAQs)
1. What are co-primes?
Two numbers are said to be co-prime if they do not have any common factors except 1
For example: (2,5), (2,9), (9,16) are co-primes.
The factors of 16 can be listed as 1, 2, 4, 8, 16, and the factors of 9 are 1, 3, 9
16 and 9 do not have any common factors except 1. So, they are co-primes.
2. Are 2 and 3 twin primes?
No, 2 and 3 are not twin primes.
Pairs of primes that differ by two and have a composite number in between them are called twin primes.
For example: (3,5), (5,7), (11,13), and so on.
3. What is 1 called if it is not prime?
1 is neither prime nor composite.
It is the smallest natural number.