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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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