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First piece: 10, 11, 12

Second Piece: 7, 8

Third Piece: 4, 5, 6

Fourth Piece: 1, 2, 3, 9 (the rest)

Obviously, these are not going to be even pieces. Here is the explanation for how this works.

First piece: 10+1+1+1+2 =15

Second piece: 7+8=15

Third piece: 4+5+6=15

Fourth piece: 1+2+3+9=15

Adding up the numbers on the clock all together (1+2+...11+12) is equal to 78. Adding up all the digits on the clock (10=1+0, 11=1+1) is equal to 51. Neither of these numbers is divisible by 15, so the only way to get the desired answer is a combination of the two methods.

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