Vyriešte akýkoľvek matematický problém

Krok za krokom

1. 360 = 2^{3} \times 3^{2} \times 5

   Prime-factorise first.

2. d(n) = (3+1) \cdot (2+1) \cdot (1+1) = 24

   Each divisor picks an exponent from 0 up to the prime's exponent, so multiply (exponent + 1) for each prime.

3. 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

   List them in increasing order.