We have all the information you will ever need about the Factors of 12. We will provide you with the definition of Factors of 12, show you how to find the Factors of 12, give you all the Factors of 12, tell you how many Factors 12 has, and supply you with all the Factor Pairs of 12 to prove that our answer is solved correctly.
Factors of 12 definition
The Factors of 12 are all the integers (positive and negative whole numbers) that you can evenly divide into 12. 12 divided by a Factor of 12 will equal another Factor of 12.
How to find the Factors of 12
Since the Factors of 12 are all the numbers that you can evenly divide into 12, we simply need to divide 12 by all numbers up to 12 to see which ones result in an even quotient. When we did that, we found that these calculations resulted in an even quotient:
12 ÷ 1 = 12
12 ÷ 2 = 6
12 ÷ 3 = 4
12 ÷ 4 = 3
12 ÷ 6 = 2
12 ÷ 12 = 1
The Postive Factors of 12 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 12 in numerical order:
1, 2, 3, 4, 6, and 12.
Factors of 12 include negative numbers. Therefore, all the Positive Factors of 12 can be converted to negative numbers. The list of Negative Factors of 12 are:
-1, -2, -3, -4, -6, and -12.
How many Factors of 12?
When we counted the Factors of 12 that we listed above, we found that 12 has 6 Positive Factors and 6 Negative Factors. Thus, the total number of Factors of 12 is 12.
Factor Pairs of 12
Factor Pairs of 12 are combinations of two factors that when multiplied together equal 12. Here are all the Positive Factor Pairs of 12
1 × 12 = 12
2 × 6 = 12
3 × 4 = 12
4 × 3 = 12
6 × 2 = 12
12 × 1 = 12
Like we said above, Factors of 12 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 12:
-1 × -12 = 12
-2 × -6 = 12
-3 × -4 = 12
-4 × -3 = 12
-6 × -2 = 12
-12 × -1 = 12
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Factors of 13
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