Geodesic
The Factors of a Square-Free Integer
Canadian mathematical bulletin, Tome 11 (1968) no. 5, pp. 733-735

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This note is concerned with the number C(n) of ordered non-trivial factorizations of an integer n in the special case where n is square free. If F (m) denotes C(p1...Pm) where pi. are distinct primes, it is shown that and that 
James, R.D. The Factors of a Square-Free Integer. Canadian mathematical bulletin, Tome 11 (1968) no. 5, pp. 733-735. doi: 10.4153/CMB-1968-089-7
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     title = {The {Factors} of a {Square-Free} {Integer}},
     journal = {Canadian mathematical bulletin},
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     year = {1968},
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     number = {5},
     doi = {10.4153/CMB-1968-089-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-089-7/}
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