## Thinking Mathematically (6th Edition)

$2,\,\,3,\,\,4,\,\,6,\,\,8,\,\,9\,\,and\,\,12$.
Write 391248 in terms of prime factors as follows: $391,248=2\times 2\times 2\times 2\times 3\times 3\times 11\times 13\times 19$ Now, check which of the provided numbers can be obtained by multiplying the prime factors of $391,248$ as follows: \begin{align} & 2=2 \\ & 3=3 \\ & 4=2\times 2 \\ & 5=\text{cannot be obtained} \\ \end{align} \begin{align} & 6=2\times 3 \\ & 8=2\times 2\times 2 \\ \end{align} \begin{align} & 9=3\times 3 \\ & 10=2\times 5\left( \text{cannot be obtained} \right) \\ & 12=2\times 2\times 3 \\ \end{align} So, the numbers that can divide 391248 are$2,\,\,3,\,\,4,\,\,6,\,\,8,\,\,9\,\,and\,\,12$.