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Find the number of ways in which 960 can be written as the product of two numbers that are co-prime to each other.
Question

Find the number of ways in which 960 can be written as the product of two numbers that are co-prime to each other.

A.

6

B.

2

C.

4

D.

8

Correct option is C

Given:

Number given is 960

Solution:

Prime factorization of 960 =26×3×52^6 \times 3 \times 5​​

Product of 960 as a product of factors as co-primes are

( 5 and 192)

(3 and 320)

(15 and 64)

(1 and 960)

There are 4 ways in which 960 can be written as a product of co-primes

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