What are the factors of 7365?

Answer 1

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.