Find all the factors of 72.

To find all the factors of 72, we need to identify the numbers that can divide 72 without leaving a remainder. Here’s how you can break it down:

Factors of 72

The factors of a number are all the integers that can multiply together to produce that number. For 72, we can list the factors as follows:

• 1
• 2
• 3
• 4
• 6
• 8
• 9
• 12
• 18
• 24
• 36
• 72

Finding the Factors

To find these factors, you can start by dividing 72 by the smallest integers and continue until you reach the square root of 72 (which is approximately 8.5). Each time you find a number that divides evenly, both that number and the result of the division are factors.

Summary of Factors

In summary, the complete list of factors for 72 is:

• 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

These numbers can be paired in various combinations to multiply back to 72, confirming they are indeed its factors.