By inspection, the number 7762 is indivisible by 3 (the sum of the digits is indivisible by 3 --> 7+7+6+2 = 22), 4 (the sum of the last two digits is indivisible by 4), 5 (the unit digit is not a 5 or 0), 7, and 11 (the sum of the odd digits does not equal to the sum of the even digits; 7+6 <> 7+2).
So far, I have 7762 = 2*3881.
Now we have to deal with 3881. We know any integer below 13 is not a divisor. I have tried all prime numbers by simple division up to 67. The square root of 3881 is 62.3, so no solution for 3881.
The factors are 1, 2 and 3881.
Q.E.D.
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Factors of 756: 1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,75
These numbers: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756.
1 x 776
2 x 388
3 x 258 and 2/3
4 x 194
5 x 155.2
6 x 129 and 1/3
7 x 110 and 6/7
8 x 97
9 x 86 and 2/9
10 x 77.6
It is: 756
Factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108.Factors of 756: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756.GCF (108, 756) = 108
6048
252, 504, 756.
Eight. The odd divisors of 756 are: 1, 3, 7, 9, 21, 27, 63, 189.