We have all the information you will ever need about the Factors of 72. We will provide you with the definition of Factors of 72, show you how to find the Factors of 72, give you all the Factors of 72, tell you how many Factors 72 has, and supply you with all the Factor Pairs of 72 to prove that our answer is solved correctly.
Factors of 72 definition
The Factors of 72 are all the integers (positive and negative whole numbers) that you can evenly divide into 72. 72 divided by a Factor of 72 will equal another Factor of 72.
How to find the Factors of 72
Since the Factors of 72 are all the numbers that you can evenly divide into 72, we simply need to divide 72 by all numbers up to 72 to see which ones result in an even quotient. When we did that, we found that these calculations resulted in an even quotient:
72 ÷ 1 = 72
72 ÷ 2 = 36
72 ÷ 3 = 24
72 ÷ 4 = 18
72 ÷ 6 = 12
72 ÷ 8 = 9
72 ÷ 9 = 8
72 ÷ 12 = 6
72 ÷ 18 = 4
72 ÷ 24 = 3
72 ÷ 36 = 2
72 ÷ 72 = 1
The Postive Factors of 72 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 72 in numerical order:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
Factors of 72 include negative numbers. Therefore, all the Positive Factors of 72 can be converted to negative numbers. The list of Negative Factors of 72 are:
-1, -2, -3, -4, -6, -8, -9, -12, -18, -24, -36, and -72.
How many Factors of 72?
When we counted the Factors of 72 that we listed above, we found that 72 has 12 Positive Factors and 12 Negative Factors. Thus, the total number of Factors of 72 is 24.
Factor Pairs of 72
Factor Pairs of 72 are combinations of two factors that when multiplied together equal 72. Here are all the Positive Factor Pairs of 72
1 × 72 = 72
2 × 36 = 72
3 × 24 = 72
4 × 18 = 72
6 × 12 = 72
8 × 9 = 72
9 × 8 = 72
12 × 6 = 72
18 × 4 = 72
24 × 3 = 72
36 × 2 = 72
72 × 1 = 72
Like we said above, Factors of 72 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 72:
-1 × -72 = 72
-2 × -36 = 72
-3 × -24 = 72
-4 × -18 = 72
-6 × -12 = 72
-8 × -9 = 72
-9 × -8 = 72
-12 × -6 = 72
-18 × -4 = 72
-24 × -3 = 72
-36 × -2 = 72
-72 × -1 = 72
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Factors of 73
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