We have all the information you will ever need about the Factors of 48. We will provide you with the definition of Factors of 48, show you how to find the Factors of 48, give you all the Factors of 48, tell you how many Factors 48 has, and supply you with all the Factor Pairs of 48 to prove that our answer is solved correctly.
Factors of 48 definition
The Factors of 48 are all the integers (positive and negative whole numbers) that you can evenly divide into 48. 48 divided by a Factor of 48 will equal another Factor of 48.
How to find the Factors of 48
Since the Factors of 48 are all the numbers that you can evenly divide into 48, we simply need to divide 48 by all numbers up to 48 to see which ones result in an even quotient. When we did that, we found that these calculations resulted in an even quotient:
48 ÷ 1 = 48
48 ÷ 2 = 24
48 ÷ 3 = 16
48 ÷ 4 = 12
48 ÷ 6 = 8
48 ÷ 8 = 6
48 ÷ 12 = 4
48 ÷ 16 = 3
48 ÷ 24 = 2
48 ÷ 48 = 1
The Postive Factors of 48 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 48 in numerical order:
1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Factors of 48 include negative numbers. Therefore, all the Positive Factors of 48 can be converted to negative numbers. The list of Negative Factors of 48 are:
-1, -2, -3, -4, -6, -8, -12, -16, -24, and -48.
How many Factors of 48?
When we counted the Factors of 48 that we listed above, we found that 48 has 10 Positive Factors and 10 Negative Factors. Thus, the total number of Factors of 48 is 20.
Factor Pairs of 48
Factor Pairs of 48 are combinations of two factors that when multiplied together equal 48. Here are all the Positive Factor Pairs of 48
1 × 48 = 48
2 × 24 = 48
3 × 16 = 48
4 × 12 = 48
6 × 8 = 48
8 × 6 = 48
12 × 4 = 48
16 × 3 = 48
24 × 2 = 48
48 × 1 = 48
Like we said above, Factors of 48 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 48:
-1 × -48 = 48
-2 × -24 = 48
-3 × -16 = 48
-4 × -12 = 48
-6 × -8 = 48
-8 × -6 = 48
-12 × -4 = 48
-16 × -3 = 48
-24 × -2 = 48
-48 × -1 = 48
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Factors of 49
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