Question

a and b are prime numbers which of the following is/are true ?

[One or more than one correct answer.]

(1) a2 has 3 positive integral factors
(2) ab has 4 positive integral factors

(3) a3has 4 positive integral factors (4) a2b2 has 4 positive integral factors​

Answer 1

Only option (4) is correct.

Because,

In option (1)

$\bold{ {a}^{2} = a \times a}$

has 2 integral factor {not 3}

In option(2)

a and b are prime factor

so ab =a× b has 2 integral factor.

In option (3)

$\bold{ {a}^{3} = \: a \times a \times a}$

has 3 integral factor ( not 4)

In option (4)

$\bold{ {a}^{2} {b}^{2} = a \times a \times b \times b }$

has 4 integral factor

Answer 2

Answer:

hi

a and b are prime numbers which of the following is/are true ?