(assuming you mean between 30 and 40 inclusive)
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30 (8 factors)
Factors of 31: 1, 31 (2 factors)
Factors of 32: 1, 2, 4, 8, 16, 32 (6 factors)
Factors of 33: 1, 3, 11, 33 (4 factors)
Factors of 34: 1, 2, 17, 34 (4 factors)
Factors of 35: 1, 5, 7, 35 (4 factors)
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 (9 factors)
Factors of 37: 1, 37 (2 factors)
Factors of 38: 1, 2, 19, 38 (4 factors)
Factors of 39: 1, 3, 13, 39 (4 factors)
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40 (8 factors)
From this you can see that 36 is the number between 30 and 40 with the greatest number of factors.
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To answer this question, we need to break all the numbers down into their prime factors. These are:
30 = 2x3x5
31 = 31
32 = 2x2x2x2x2
33 = 3x11
34 = 2x17
35 = 5x7
36 = 2x2x3x3
37 = 37
38 = 2x19
39 = 3x13
40 = 2x2x2x5
Thus it can be seen that 36 has the greatest possibilities for prime factor combination, and therefore the most factors. These are 1, 2, 3, 4, 6, 9, 12, 18 and 36.
36 does.
The factors of a number cannot be greater than the number itself. So there are no factors of 4 between 30 and 50.
37
Any number between 30 and 40 can be a factor. The common factors of 30 and 40 are 1, 2, 5 and 10.
20 and 28 both have six factors.