Question

2.
Are the following numbers prime or composite? Show by finding the factors.
(a) 9
(b) 48
(c) 89
(d) 96
(e) 78
(f) 101​

Answer 1

Hello Mate!

Prime Numbers are the numbers that have only two factors; 1 and the number itself.

Composite Numbers are numbers that have more than two factors.

Let's see whether the following options are either prime or composite numbers.

(a) Factors of 9

$\colon\implies{\rm}$ 1, 3, 9

As we can observe, 9 has three factors. Therefore, 9 is a composite number.

(b) Factors of 48

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. Totally, there are 10 factors. Obviously, we can say that 48 is a composite number.

(c) Factors of 89

There are only two factors of 89. They are 1 and 89. As there are only two factors, 89 is considered as a prime number.

(d) Factors of 96

The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. Totally, there are 12 factors. Therefore, we can say that 96 is a composite number.

(e) Factors of 78

The factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78. There are totally 8 factors. Therefore, we can say that 78 is a composite number.

(f) Factors of 101

The factors of 101 are 1 and 101. As there are only two factors, we can say that 101 is a prime number.

At last, we can conclude this problem by saying that Options (c) and (f) are prime numbers and the other options are composite numbers.