Decomposition of a number in prime factors (factorization)

To decompose a number in prime factors (factorization) we divide by 2, so many times as possible, then by 3, 5, 7, etcetera, until we reach 1 in the quotient.

Example:

Exercise. Decompose these numbers: 72, 242, 444, 9180.

Solutions:72 = 2³ · 3²; 242 = 2 · 11²: 444 = 2² · 3 · 37; 9180 = 2² · 3³ · 5 · 17