Answer
$$696=2\times 2\times 2 \times 3\times 29.$$
Work Step by Step
To find the prime factorization of $696$, we see what numbers go into $696$ evenly (without a remainder). We notice that $696$ is even, so we divide by $2$:
$696\div 2=348$
Since $348$ is also even, we divide by $2$ again.
$348\div 2=174$
Since $174$ is also even, we divide by $2$ once more:
$174\div 2=87$
We notice that $87$ is divisible by $3$ because $8+7=15$ is divisible by $3$ (see rule on page 24 of book). So we have:
$87\div 3=29$
Thus we have the following prime factors of $696$:
$$696=2\times 2\times 2 \times 3\times 29.$$
