Sorry, no online dictionaries contain the exact phrase non-zero factorial.
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Reverse dictionary results:
1. invalid
 2. different
3. greater thzero
4. non-negative
5. nonzero
6. null
7. positive
8. suck
9. zero
10. factory
 11. exclamation mark
12. a hundred times
13. a million times
14. absorptivity
15. accelerator factor
16. accidental
17. account
18. account of sales
19. accounting
20. achondroplasia
 21. acid
22. activin
23. add
24. address
25. addressing
26. advantage
27. age
28. agency
29. agent
30. agents
 31. airfare
32. aliquot
33. allergic
34. ally
35. alpha
36. amp
37. aneurin
38. anonymous
39. another
40. antagonism

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You can look up the words in the phrase individually using these links:   non-zero ?   factorial ?
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