1. Or is it less likely to lead to a trivial factorisation , maybe? 2. That is, their factorisation is a proper set, not just a bag. 3. Then a possesses a unique integer factorisation : 4. However, the next nine numbers of the sequence are composite; their factorisations are: 5. Nowadays, other factorisation algorithms are faster. 6. Consider the natural numbers whose factorisation contains, at most, one of each prime. 7. He later factored the tenth and eleventh Fermat numbers using Lenstra's elliptic curve factorisation algorithm. 8. In this sense, the " factorisation " of a finite group into simple groups is unique. 9. In particular, he has contributed to some of the record computations in integer factorisation and discrete logarithm. 10. If this is really what was meant, then factorisation is probably much easier than these worst case examples.