Question

x^730-y^730 is always divisible by​

Answer 1

Answer:

1. A number is divisible by 2 if the last digit of the number is divisible by 2.

2. A number is divisible by 3 if − 2 times the last digit of the number added to the rest of the number is divisible by 3.

3. A number is divisible by 5 if the last digit of the number is divisible by 5.

4. A number is divisible by 7 if − 2 times the last digit of the number added to the rest of the number is divisible by 7.

5. A number is divisible by 11 if − 1 times the last digit of the number added to the rest of the number is divisible by 11.

6. A number is divisible by 13 if − 9 times the last digit of the number added to the rest of the number is divisible by 13.

7. ” 17 ” − 5 ” 17.

8. ” 19 ” − 17 ” 19.

9. ” 23 ” − 16 ” 23.

10. ” 29 ” − 26 ” 29.

11. A number is divisible by 31 if − 3 times the last digit of the number added to the rest of the number is divisible by 31.

12. ” 37 ” − 11 ” 37.

13. ” 41 ” − 4 ” 41.

14. ” 43 ” − 30 ” 43.

15. ” 47 ” − 14 ” 47.

16. A number is divisible by 53 if − 37 times the last digit of the number added to the rest of the number is divisible by 53.

17. ” 59 ” − 53 ” 59.

18. ” 61 ” − 6 ” 61.

19. ” 67 ” − 20 ” 67.

20. ” 71 ” − 7 ” 71.

21. A number is divisible by 73 if − 51 times the last digit of the number added to the rest of the number is divisible by 73.

22. ” 79 ” − 71 ” 79.

23. ” 83 ” − 58 ” 83.

24. ” 89 ” − 80 ” 89.

25. ” 97 ” − 29 ” 97.

26. A number is divisible by 101 if − 10 times the last digit of the number added to the rest of the number is divisible by 101.

27. ” 103 ” − 72 ” 103.

28. ” 107 ” − 32 ” 107.

29. ” 109 ” − 98 ” 109.

30. ” 113 ” − 79 ” 113.

31. A number is divisible by 127 if − 38 times the last digit of the number added to the rest of the number is divisible by 127.

32. ” 131 ” − 13 ” 131.

33. ” 137 ” − 41 ” 137.

34. ” 139 ” − 125 ” 139.

35. ” 149 ” − 134 ” 149.

36. A number is divisible by 151 if − 15 times the last digit of the number added to the rest of the number is divisible by 151.

37. ” 157 ” − 47 ” 157.

38. ” 163 ” − 114 ” 163.

39. ” 167 ” − 50 ” 167.

40. ” 173 ” − 121 ” 173.

41. A number is divisible by 179 if − 161 times the last digit of the number added to the rest of the number is divisible by 179.