Short Answer 
The factors of 36 are identified as 2, 3, 4, 6, and 9 based on whether they divide 36 evenly. The number 36 can be expressed as products of these factors in various combinations, such as 2 x 18 and 3 x 12.
Step 1: Identify Factors of 36
To determine if a number is a factor of 36, we need to check whether 36 can be divided by that number evenly, meaning there should be no remainder. If the division results in a whole number, then it is indeed a factor. Let’s evaluate the potential factors:
- a) 2: 36 ‚àö‚àë 2 = 18 (Factor)
- b) 3: 36 ‚àö‚àë 3 = 12 (Factor)
- c) 4: 36 ‚àö‚àë 4 = 9 (Factor)
- d) 5: 36 ‚àö‚àë 5 = 7.2 (Not a factor)
- e) 6: 36 ‚àö‚àë 6 = 6 (Factor)
- f) 8: 36 ‚àö‚àë 8 = 4.5 (Not a factor)
- g) 9: 36 ‚àö‚àë 9 = 4 (Factor)
Step 2: List the Factors Found
Based on the calculations, the numbers that qualify as factors of 36 are those that yielded whole numbers. This means we have identified the following factors:
- 2
- 3
- 4
- 6
- 9
Step 3: Express Factors as Products
We can now express 36 as a product of the identified factors. Each factor pairs with another to yield the number 36. Here are the product expressions:
- 2 x 18 = 36
- 3 x 12 = 36
- 4 x 9 = 36
- 6 x 6 = 36
- 9 x 4 = 36