Question

1.o Idontifies and classifies.
As old, even, co- pirma prima and.composila
numbers​

Answer 1

Explanation:

Definition of Even Numbers:

Integers which are divisible by 2 are known as even numbers. In other words, numbers whose unit place is 0, 2, 4, 6, 8 are divisible by 2 and such numbers are even numbers. Even numbers leave no remainder (i.e. remainder is 0) when divided by 2.

Ex: 8, 14, 16, 50, 62,…

Definition of Odd Numbers:

In contrast, to even numbers, integers which are not divisible by 2 are known as odd numbers. They have 1, 3, 5, 7, 9 at their unit place. Odd numbers leave remainder 1 when divided by 2.

Ex: 13, 21, 65, 77, 49,…

Even numbers can be positive or negative. In case of negative, we may call them as negative even integers, whereas positive numbers as positive even integers. Same concepts is applicable for odd numbers also

Prime and Composite Numbers in Maths

Definition of Prime Numbers:

A natural number which has exactly two factors, i.e. 1 and the number itself, is a prime number. In simple words, if a number is only divisible by 1 and itself, then it is a prime number. Every prime number is an odd number except number 2.

For example:

2, 3, 5, 7, 11, 19, 37, 41, 313, 241 etc.

2 = 1 × 2

3 = 1 × 3

5 = 1 × 5 and so on.

Thus, all the above mentioned numbers have exactly two factors, i.e. 1 and the number itself. Hence, they are prime numbers.

Definition of Composite Numbers:

Every non-prime number is a composite number. Composite numbers are those natural numbers which have more than two factors. Such numbers are divisible by other numbers as well.

For example:

4, 6, 8, 10, 12, 14, 500, 6000 etc.

These numbers can be written as:

4 = 1 × 4, 4 = 2 × 2

6 = 1 × 6, 6 = 2 × 3

8 = 1 × 8, 8 = 2 × 4

10 = 1 × 10, 10 = 2 × 5

12 = 1 × 12, 12 = 2 × 6, 12 = 3 × 4 and so on.

Thus, all the above mentioned numbers have more than two factors, i.e. other than 1 and the number itself. Hence, they are composite numbers.

Some facts about prime numbers and composite numbers are:

1 is neither a prime nor a composite number.

The only even number which is a prime is 2. It is the smallest prime number.

Except 2, all other prime numbers are odd numbers