All factors of a positive integer A are multiplied and the product obtained is A^3. If A is greater than 1, how many factors does A have?	Choose the correct choice from the following answers: A) 2 B) 3 C) 5 D) 6 E) 8
Answer = D = 6   Number ................ Factors ........................ Product   2 ............................. 1, 2 ................................. 2   3 ............................... 1, 3 ............................... 3   4 ................................ 1, 2, 4 ............................... 8   5 ............................... 1, 5 .................................. 5   6 ............................... 1, 2, 3, 6 ......................... 36   7 ................................ 1, 7 ................................. 7   8 ................................. 1, 2, 4, 8 ........................... 64   9 ............................... 1, 3, 9 ............................ 27   10 ................................ 1, 2, 5 ............................ 10   11.................................... 1, 11 ........................... 11   12 ................................... 1, 2, 3, 4, 6, 12 ................. 12 * 12 * 12   Number which we are looking for = 12   Answer = 6
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All factors of a positive integer A are multiplied and the product obtained is A^3. If A is greater than 1, how many factors does A have?