Factoring into primes

Statement

Write each positive integer as a product of prime factors in canonical form (prime powers in increasing order).

(i) $45$ (ii) $84$ (iii) $550$ (iv) $936$

Solution

(i) $45 = 9 \cdot 5 = 3^2 \cdot 5$. (ii) $84 = 4 \cdot 21 = 2^2 \cdot 3 \cdot 7$. (iii) $550 = 2 \cdot 275 = 2 \cdot 25 \cdot 11 = 2 \cdot 5^2 \cdot 11$. (iv) $936 = 8 \cdot 117 = 2^3 \cdot 9 \cdot 13 = 2^3 \cdot 3^2 \cdot 13$.