Question

(7) The smallest composite
number is:​

Answer 1

Answer:

4 is the smallest composite number

Answer 2

$\huge\underbrace\mathscr\color{lime}{ †\: Answer:–}$

4 is the smallest composite number.

$\huge\underbrace\mathscr\color{lime}{ †\: Explaination:–}$

A composite number is defined to be a number which has other divisors besides 1 and the number itself. Start counting:1, 2, 3, 4, 5, 6……….

1 is not a composite number because its sole divisor is 1. 2 is not a composite number because it has only two divisors 1 and the number 2 itself. 3 is in the same class as 2.

But 4 is different. Its divisors are 1,2,4. So this number satisfies the criterion of a composite number as stated above since besides 1 and 4, 2 is also a divisor. 4 is also the smallest composite number. The next composite number after 4 is 6 which has as divisors 1,2,3,6.

Hence , the Smallest composite number is 4 (Proved).