We have all the information you will ever need about the Factors of 36. We will provide you with the definition of Factors of 36, show you how to find the Factors of 36, give you all the Factors of 36, tell you how many Factors 36 has, and supply you with all the Factor Pairs of 36 to prove that our answer is solved correctly.
Factors of 36 definition
The Factors of 36 are all the integers (positive and negative whole numbers) that you can evenly divide into 36. 36 divided by a Factor of 36 will equal another Factor of 36.
How to find the Factors of 36
Since the Factors of 36 are all the numbers that you can evenly divide into 36, we simply need to divide 36 by all numbers up to 36 to see which ones result in an even quotient. When we did that, we found that these calculations resulted in an even quotient:
36 ÷ 1 = 36
36 ÷ 2 = 18
36 ÷ 3 = 12
36 ÷ 4 = 9
36 ÷ 6 = 6
36 ÷ 9 = 4
36 ÷ 12 = 3
36 ÷ 18 = 2
36 ÷ 36 = 1
The Postive Factors of 36 are therefore all the numbers we used to divide (divisors) above to get an even number. Here is the list of all Postive Factors of 36 in numerical order:
1, 2, 3, 4, 6, 9, 12, 18, and 36.
Factors of 36 include negative numbers. Therefore, all the Positive Factors of 36 can be converted to negative numbers. The list of Negative Factors of 36 are:
-1, -2, -3, -4, -6, -9, -12, -18, and -36.
How many Factors of 36?
When we counted the Factors of 36 that we listed above, we found that 36 has 9 Positive Factors and 9 Negative Factors. Thus, the total number of Factors of 36 is 18.
Factor Pairs of 36
Factor Pairs of 36 are combinations of two factors that when multiplied together equal 36. Here are all the Positive Factor Pairs of 36
1 × 36 = 36
2 × 18 = 36
3 × 12 = 36
4 × 9 = 36
6 × 6 = 36
9 × 4 = 36
12 × 3 = 36
18 × 2 = 36
36 × 1 = 36
Like we said above, Factors of 36 include negative numbers. Minus times minus equals plus, thus you can convert the Positive Factor Pair list above by simply putting a minus in front of every factor to get all the Negative Factor Pairs of 36:
-1 × -36 = 36
-2 × -18 = 36
-3 × -12 = 36
-4 × -9 = 36
-6 × -6 = 36
-9 × -4 = 36
-12 × -3 = 36
-18 × -2 = 36
-36 × -1 = 36
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Factors of 37
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