6 is a prime number Related: What are Prime and Composite Numbers??
Prime and Composite Numbers
Prime and composite numbers are two different types of numbers in mathematics. Understanding the difference between prime and composite numbers is important in various mathematical concepts, such as factorization, divisibility, and prime factorization.
Prime Numbers
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. In simpler terms, a prime number is a number that cannot be divided evenly by any other number except for 1 and itself.
Key Points:
1. A prime number has only two factors - 1 and itself.
2. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and so on.
3. Prime numbers do not have any factors other than 1 and itself.
For example:
- The number 2 is a prime number because its only factors are 1 and 2.
- The number 5 is also a prime number because its only factors are 1 and 5.
Composite Numbers
A composite number is a natural number greater than 1 that has more than two positive divisors. In other words, a composite number is a number that can be divided evenly by at least one number other than 1 and itself.
Key Points:
1. A composite number has more than two factors.
2. Composite numbers can be formed by multiplying two or more prime numbers together.
3. The first few composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, and so on.
For example:
- The number 4 is a composite number because it has factors 1, 2, and 4.
- The number 9 is also a composite number because it has factors 1, 3, and 9.
Is 6 a Prime Number or Composite Number?
Now, let's determine whether the number 6 is a prime number or a composite number.
- The factors of 6 are 1, 2, 3, and 6.
- Since 6 has more than two factors, it is not a prime number.
- Therefore, 6 is a composite number.
Conclusion
In summary, prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves. On the other hand, composite numbers are natural numbers greater than 1 that have more than two positive divisors. The number 6 is a composite number because it has factors other than 1 and itself.
6 is a prime number Related: What are Prime and Composite Numbers??
Prime number are odd number
and composite number are even number
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