Question

Difference between composite no. and coprime no.???....

Answer 1

Answer:

Prime numbers

In natural numbers, which are one to infinity, that is, [1, 2, 3, 4, 5… infinity]; those numbers which can have only two factors, one is the number 1 and the other is the number itself, are called prime numbers. Simply put, those numbers which can be divided only by 1 and themselves are called prime numbers. So they only have two divisors.

For example:

3 (factors are 1 and 3);

7 (factors are 1 and 7), etc.

So if counted, prime numbers are infinity.

[2, 3, 5, 7, 11, 13, 17, 19… infinity]

Prime numbers are always odd numbers, except 2, because if they were even, they would have been divisible by 2 which is not a property of prime numbers.

Composite numbers

All the numbers other than prime numbers, except 1, are composite numbers because they have more than two factors. That is, composite numbers can be divided by 1, themselves, and some other numbers also.

For example:

4 (factors are 1, 2 and 4);

20 (factors are 1, 2, 5 and 20), etc.

Here also, we have infinite composite numbers.

[2, 4, 6, 8, 9, 10, 12, 14, 15… infinity]

Composite numbers can be even or odd depending upon the factors they have. If it has a minimum of one even number, it will be an even number. If it has no even number in its factors, then it will be an odd number.

The number 1 in natural numbers is an exception as this number cannot be categorized as a prime or composite number.

Summary:

1.Prime numbers have 1 and themselves as their factor while composite numbers can have more factors than 1 and themselves.

2.Smallest prime number is 2.

3.Smallest composite number is also 2.

4.The number 1 is neither a prime number nor a composite number

Step-by-step explanation:

A prime number is a whole number that only has two factors which are itself and one. A composite number has factors in addition to one and itself. The numbers 0 and 1 are neither prime nor composite. All even numbers are divisible by two and so all even numbers greater than two are composite numbers.

Answer 2

Answer:

1. A composite number is a product of primes. It has factors other than 1 and itself. For example, 6 = 2x3.
2. A coprime pair refers to one which does not have any common factors other than 1. For example, 17 and 2 are coprime.