56 = 2^3 \times 7
56 is the number of times that 11 can be partitioned. A partition of a number is the number of different ways that the number can be written as a sum of integers where the order is not significant. Thus 11 has the following partitions:
- 11
- 10 + 1
- 9 + 2
- 8 + 3
- 7 + 4
- 6 + 5
- 9 + 1 + 1
- 8 + 2 + 1
- 7 + 3 + 1
- 7 + 2 + 2
- 6 + 4 + 1
- 6 + 3 + 2
- 5 + 5 + 1
- 5 + 4 + 2
- 5 + 3 + 3
- 4 + 4 + 3
- 8 + 1 + 1 + 1
- 7 + 2 + 1 + 1
- 6 + 3 + 1 + 1
- 6 + 2 + 2 + 1
- 5 + 4 + 1 + 1
- 5 + 3 + 2 + 1
- 5 + 2 + 2 + 2
- 4 + 4 + 2 + 1
- 4 + 3 + 3 + 1
- 4 + 3 + 2 + 2
- 3 + 3 + 3 + 2
- 7 + 1 + 1 + 1 + 1
- 6 + 2 + 1 + 1 + 1
- 5 + 3 + 1 + 1 + 1
- 5 + 2 + 2 + 1 + 1
- 4 + 4 + 1 + 1 + 1
- 4 + 3 + 2 + 1 + 1
- 4 + 2 + 2 + 2 + 1
- 3 + 3 + 3 + 1 + 1
- 3 + 3 + 2 + 2 + 1
- 3 + 2 + 2 + 2 + 2
- 6 + 1 + 1 + 1 + 1 + 1
- 5 + 2 + 1 + 1 + 1 + 1
- 4 + 3 + 1 + 1 + 1 + 1
- 4 + 2 + 2 + 1 + 1 + 1
- 3 + 3 + 2 + 1 + 1 + 1
- 3 + 2 + 2 + 2 + 1 + 1
- 2 + 2 + 2 + 2 + 2 + 1
- 5 + 1 + 1 + 1 + 1 + 1 + 1
- 4 + 2 + 1 + 1 + 1 + 1 + 1
- 3 + 3 + 1 + 1 + 1 + 1 + 1
- 3 + 2 + 2 + 1 + 1 + 1 + 1
- 2 + 2 + 2 + 2 + 1 + 1 + 1
- 4 + 1 + 1 + 1 + 1 + 1 + 1 + 1
- 3 + 2 + 1 + 1 + 1 + 1 + 1 + 1
- 2 + 2 + 2 + 1 + 1 + 1 + 1 + 1
- 3 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1
- 2 + 2 + 1 + 1 + 1 + 1 + 1 + 1 + 1
- 2 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1
- 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1
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