Revision as of 05:32, 21 November 2011 edit 24.7.28.186 (talk) removed "distinct" from sentence on squarefree numbers, see question on discussion page ← Previous edit		Revision as of 09:16, 1 January 2012 edit undo 76.218.104.120 (talk) partition, not permutation Next edit →
Line 3: ==Examples== The number 20 has four multiplicative partitions: 2 × 2 × 5, 2 × 10, 4 × 5, and 20. 3 × 3 × 3 × 3, 3 × 3 × 9, 3 × 27, 9 × 9, and 81 are the five multiplicative ~~permutations~~partitions of 81 = 3<sup>4</sup>. Because it is the fourth power of a [[prime number\|prime]], 81 has the same number (five) of multiplicative partitions as 4 does of [[partition (number theory)\|additive partitions]]. The number 30 has five multiplicative partitions: 2 × 3 × 5 = 2 × 15 = 6 × 5 = 3 × 10 = 30. In general, the number of multiplicative partitions of a [[Square-free integer\|squarefree]] number with '''i''' prime factors is the ith [[Bell number]] , B<sub>i</sub>.

Multiplicative partition: Difference between revisions