5's the obvious one, so we factor 5 out and get 1473. No more fives left, obviously, but 1473 follows the rule of factoring by 3 (1+4+7+3=15, which is divisible by three), so we factor 3 out and get 491. 491 isn't divisible by three 3, so we find the nearest square to 491, which is 484 (22*22). We test all the remaining prime numbers 22 or less: 7, 11, 13, 17, 19. None work, meaning 491 is prime. So the factors of 7365 are 3, 5, and 491.
7365 x 9 = 66285
1, 2, 3, 5, 6, 10, 15, 30, 491, 982, 1473, 2455, 2946, 4910, 7365, 14730.
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1, 2, 3, 5, 6, 10, 15, 30, 491, 982, 1473, 2455, 2946, 4910, 7365, 14730
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