Answer
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Hint: First of all we need to remember the types of numbers and their different categories then only we can proceed with the question. By definition we can say that the answer is option C. Prime numbers because they are the one which includes all the natural numbers with only two factors and the factors are the specific number itself and the number 1 and the examples of the prime numbers are - 2, 3, 5, 7, 11, 13, 17, 19, 23... and so on till infinity.
Complete step-by-step answer:
Now to proceed with the question we need to first memorize all the definitions of types of numbers and the main categories of numbers also which are explained below:
Natural numbers – All the positive numbers which have no decimal part or zero decimal part and at the same time have denominator 1. For example natural numbers are 1, 2, 3, 4, 5, 6……… and so on.
Whole numbers – All the non-negative (0 is neither a positive number nor a negative number) numbers which have no decimal part or zero decimal part and at the same time have denominator 1. Also we can say that all natural numbers plus 0 are whole numbers. For example whole numbers are 0, 1, 2, 3, 4, 5, 6………….. and so on.
Integers – All the non-positive and non-negative numbers which have no decimal part or zero decimal part and at the same time have denominator 1. For example integers are -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5…… and so on.
Prime numbers – All the numbers which have only two factors one is the number itself and other factor is number 1. For example prime numbers are 2, 3, 5, 7, 11, 13, 17, 19……… and so on.
Composite numbers – All the numbers which have more than two factors or more precisely which have factors other than number 1 and themselves. In other words we can say that numbers which are not prime and also we have to exclude the number 1. For example composite numbers are 4, 6, 8, 9, 10, 12, 14, 15………… and so on.
Odd numbers – All the Integers which are exactly not divisible by 2 or when divided by two the quotient is in decimal or fraction form. For example odd numbers are -5, -3, -1, 1, 3, 5, 7, 9……. and so on.
Even numbers – All the integers which are exactly divisible by 2. For example even numbers are -4, -2, 0, 2, 4, 6, 8, 10…… and so on.
So by looking at the definitions which are needed to be memorized we can say that the definition which is the answer to our question, which category of numbers in which the numbers have only two factors one of them is number 1 and the other is the number itself, is the prime numbers.
Hence the correct option is,
Option. C. Prime numbers.
Note: Just remember thoroughly all the definitions of numbers and their categories. Number 0 is neither positive nor negative, Number 1 is neither prime nor composite so that is why it is not present in any of the two definitions example, number 2 is the only prime number which is even and all prime numbers are odd. For remembering the definitions of prime numbers just remember that they are not divisible by any number except 1 and themselves. Remember the definition of composite numbers as composed of many numbers and also they are opposite of prime numbers.
Complete step-by-step answer:
Now to proceed with the question we need to first memorize all the definitions of types of numbers and the main categories of numbers also which are explained below:
Natural numbers – All the positive numbers which have no decimal part or zero decimal part and at the same time have denominator 1. For example natural numbers are 1, 2, 3, 4, 5, 6……… and so on.
Whole numbers – All the non-negative (0 is neither a positive number nor a negative number) numbers which have no decimal part or zero decimal part and at the same time have denominator 1. Also we can say that all natural numbers plus 0 are whole numbers. For example whole numbers are 0, 1, 2, 3, 4, 5, 6………….. and so on.
Integers – All the non-positive and non-negative numbers which have no decimal part or zero decimal part and at the same time have denominator 1. For example integers are -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5…… and so on.
Prime numbers – All the numbers which have only two factors one is the number itself and other factor is number 1. For example prime numbers are 2, 3, 5, 7, 11, 13, 17, 19……… and so on.
Composite numbers – All the numbers which have more than two factors or more precisely which have factors other than number 1 and themselves. In other words we can say that numbers which are not prime and also we have to exclude the number 1. For example composite numbers are 4, 6, 8, 9, 10, 12, 14, 15………… and so on.
Odd numbers – All the Integers which are exactly not divisible by 2 or when divided by two the quotient is in decimal or fraction form. For example odd numbers are -5, -3, -1, 1, 3, 5, 7, 9……. and so on.
Even numbers – All the integers which are exactly divisible by 2. For example even numbers are -4, -2, 0, 2, 4, 6, 8, 10…… and so on.
So by looking at the definitions which are needed to be memorized we can say that the definition which is the answer to our question, which category of numbers in which the numbers have only two factors one of them is number 1 and the other is the number itself, is the prime numbers.
Hence the correct option is,
Option. C. Prime numbers.
Note: Just remember thoroughly all the definitions of numbers and their categories. Number 0 is neither positive nor negative, Number 1 is neither prime nor composite so that is why it is not present in any of the two definitions example, number 2 is the only prime number which is even and all prime numbers are odd. For remembering the definitions of prime numbers just remember that they are not divisible by any number except 1 and themselves. Remember the definition of composite numbers as composed of many numbers and also they are opposite of prime numbers.
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