Question

A number which has more than two factors is called a
(a) Composite number
(b) Even number
(c) Odd number
(d) Prime number

Answer 1

Hint: To solve this question, we will define all the options given in the question and see some examples of each one of them. Then we will check which of the options is correct for the definition given in the question.

Complete step-by-step solution:
Let us begin with option (d).
Option (d) is prime numbers. Prime numbers are the numbers that are only divisible by 1 or by itself. It does not have more than two factors.
Eg: 3, 7, 43, etc.
The numbers given in the example are not divisible by any number other than 1 and by itself.
So, option (d) is not correct.
Now, we shall consider option (c).
Option (c) is odd numbers. Odd numbers are defined as the numbers which are not divisible by 2.
Eg: 7, 9, 11, 13, etc.
Thus, option (c) is also incorrect.
Option (b) is even numbers. Even numbers are defined as the numbers that are divisible by 2.
Here only two is an even number which has only 2 factors ‘1’ and itself, Except this, all other even numbers have more than two factors, To cause of this option C is not correct.
Thus, option (c) is also incorrect.
Now, we shall see the option (a). Option (a) is composite numbers.
All the numbers which are not prime numbers come under composite numbers. So, the definition of composite numbers must be opposite to that of prime numbers.
Thus, any number that can be divided by 1, itself, and at least one other number is a composite number. So, it has more than two factors.
Hence, option (a) is the correct option.

Note: It is to be noted that all the even numbers are composite numbers except 2, as they are all divisible by 1, itself, and 2. Many odd numbers are also composite numbers by not all of them, for eg. 11, which is an odd number but not a composite number.