Fill in the blanks : (a) A number which has only two factors is called a ______. (b) A number which has more than two factors is called a ______. (c) 1 is neither ______ nor ______. (d) The smallest prime number is ______. (e) The smallest composite number is _____. (f) The smallest even number is ______.

# Fill in the blanks : (a) A number which has only two factors is called a ______. (b) A number which has more than two factors is called a ______. (c) 1 is neither ______ nor ______. (d) The smallest prime number is ______. (e) The smallest composite number is _____. (f) The smallest even number is ______.

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### Solution:

(a) A number which has only two factors is called a prime number.

By definition of prime number, a number is said to be prime if it has only 2 factors 1 and the number itself.

(b) A number which has more than two factors is called a composite number.

By definition of a composite number, a number is said to be composite if it has more than 2 factors.

(c) 1 is neither prime number nor composite number.

Since 1 only has the factor number, hence is neither prime nor a composite number.

(d) The smallest prime number is 2.

1 is neither prime nor composite so 2 is the smallest prime number.

(e) The smallest composite number is 4.

In contrary to 2 and 3, which are prime numbers, 1 is neither prime nor composite. So 4 is the smallest composite number having factors as 1, 2, and 4.

(f) The smallest even number is 2.

2 is both even and prime. So 2 is the only even prime number.

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