## Elementary Technical Mathematics

$$696=2\times 2\times 2 \times 3\times 29.$$
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 $696$: $$696=2\times 2\times 2 \times 3\times 29.$$