Question

Find the factors of 324

Answer 1

Hint: Since the Factors of 324 are all the numbers that you can evenly divide into 324, we simply need to divide 324 by all numbers up to 324 to see which ones result in an even quotient. When we did that, we found that these calculations resulted in an even quotient.

Complete Step-by-step solution
The Factors of 324 are all the integers (positive and negative whole numbers) that you can evenly divide into 324. 324 divided by a Factor of 324 will equal another Factor of 324
\[\begin{gathered}
  324{\text{ }} \div {\text{ }}1{\text{ }} = {\text{ }}324 \\
  324{\text{ }} \div {\text{ }}2{\text{ }} = {\text{ }}162 \\
  324{\text{ }} \div {\text{ }}3{\text{ }} = {\text{ }}108 \\
  324{\text{ }} \div {\text{ }}4{\text{ }} = {\text{ }}81 \\
  324{\text{ }} \div {\text{ }}6{\text{ }} = {\text{ }}54 \\
  324{\text{ }} \div {\text{ }}9{\text{ }} = {\text{ }}36 \\
  324{\text{ }} \div {\text{ }}12{\text{ }} = {\text{ }}27 \\
  324{\text{ }} \div {\text{ }}18{\text{ }} = {\text{ }}18 \\
\end{gathered} \]
\[\begin{gathered}
  324{\text{ }} \div {\text{ }}27{\text{ }} = {\text{ }}12 \\
  324{\text{ }} \div {\text{ }}36{\text{ }} = {\text{ }}9 \\
  324{\text{ }} \div {\text{ }}54{\text{ }} = {\text{ }}6 \\
  324{\text{ }} \div {\text{ }}81{\text{ }} = {\text{ }}4 \\
  324{\text{ }} \div {\text{ }}108{\text{ }} = {\text{ }}3 \\
  324{\text{ }} \div {\text{ }}162{\text{ }} = {\text{ }}2 \\
  324{\text{ }} \div {\text{ }}324{\text{ }} = {\text{ }}1 \\
\end{gathered} \]

The Positive Factors of 324 are therefore all the numbers we used to divide (divisors) above to get an even number. Here is the list of all Positive Factors of 324 in numerical order:
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, and 324.
Factors of 324 include negative numbers. Therefore, all the Positive Factors of 324 can be converted to negative numbers. The list of Negative Factors of 324 are:
-1, -2, -3, -4, -6, -9, -12, -18, -27, -36, -54, -81, -108, -162, and -324.

Note:Factor Pairs of 324 are combinations of two factors that when multiplied together equal 324.