Sorry, no online dictionaries contain the exact phrase prime number factor.
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Reverse dictionary results:
1. one
 2. primed
3. two
4. primality
5. rate
6. prominence
7. highest common factor
8. iii
9. totient
10. vii
 11. character
12. power
13. prime quantity
14. three
15. seven
16. nineteen
17. coefficient
18. cli
19. eleven
20. irrational
 21. seventeen
22. thirteen
23. totitive
24. common factor
25. divisor
26. modulus
27. imaginary part
28. imaginary part of a complex number
29. second
30. key
 31. time
32. central
33. essential
34. critical
35. crucial
36. fundamental
37. important
38. accent
39. composite
40. flower

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You can look up the words in the phrase individually using these links:   prime ?   number ?   factor ?
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