Number of ways in which 38808 can be expressed as a product of two co-prime factors is

Question

Number of ways in which 38808 can be expressed as a product of two co-prime factors is (A) 11 (B) 8 (C) 16 (D) 2

Tardigrade Admin · Accepted Answer

38808=23 × 32 × 72 × 111 number of co-prime factors =2α-1 where α is number of different Prime factor, here α=4 So, number of co-prime factors =24-1=8

Q. Number of ways in which $38808$ can be expressed as a product of two co-prime factors is

11

8

16

2

$38808 = 2^{3} \times 3^{2} \times 7^{2} \times 1 1^{1}$
number of co-prime factors $= 2^{α - 1}$
where $α$ is number of different Prime factor, here $α = 4$
So, number of co-prime factors $= 2^{4 - 1} = 8$

Q. Number of ways in which 38808 can be expressed as a product of two co-prime factors is

11

8

16

2

38808=23×32×72×111 number of co-prime factors =2α−1 where α is number of different Prime factor, here α=4 So, number of co-prime factors =24−1=8

Q. Number of ways in which $38808$ can be expressed as a product of two co-prime factors is

$38808 = 2^{3} \times 3^{2} \times 7^{2} \times 1 1^{1}$
number of co-prime factors $= 2^{α - 1}$
where $α$ is number of different Prime factor, here $α = 4$
So, number of co-prime factors $= 2^{4 - 1} = 8$