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How many divisors of 612 are perfect cubes?

Option 1 -

36

Option 2 -

9

Option 3 -

25

Option 4 -

18

0 2 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • R

    Answered by

    Raj Pandey | Contributor-Level 9

    a month ago
    Correct Option - 3


    Detailed Solution:

    612 = 212 * 312. For perfect cubes, power must be multiple of 3.

    Therefore, power of 2 equal 20, 23, 26, 29, 212 and power of 3 equals 30, 33, 36, 39, 312 So, number of divisors equal 5* 5 = 25.

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