Question

Give the prime factorization of each of the following numbers:
945

Answer 1

We will use the division method as shown below:

$\begin{array}{l}3\overline{)\text{945}}\\ 3\overline{)\text{315}}\\ 3\overline{)\text{105}}\\ 5\overline{)\text{35}}\\ 7\overline{)\text{7}}\\ \text{1}\end{array}$

∴ 945 = 3 × 3 × 3 × 5 × 7 × 1
= 3³ × 5 × 7