SOLUTION: "How many distinct factors of 1,600 are perfect cubes?" The options are-(i)3 (ii)4 (iii)6 (iv)2 "

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Question 616103: "How many distinct factors of 1,600 are perfect cubes?" The options are-(i)3 (ii)4 (iii)6 (iv)2 "
Answer by richard1234(7193) About Me  (Show Source):
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Note that . Any factor that is a perfect cube will have primes raised to a power that is multiple of 3. The only cubes that divide into 1600 are 1^3, 2^3, and 4^3, so the answer is 3.