Factor Pairs of 48

All Factor Pairs of 48

Here are all the factor pairs of 48:

(1, 48)

(2, 24)

(3, 16)

(4, 12)

(6, 8)

Total: 5 factor pairs

Visual Representation of Factors

These are all the factors of 48:

1

2

3

4

6

8

12

16

24

48

Properties of 48

Number Type

Abundant Number

Sum of All Factors

124

Sum of Proper Divisors

76

Total Factors

10

Prime Factorization

2⁴ × 3

Perfect Square?

No

How to Calculate Factor Pairs of 48

Step-by-Step Process

To find all factor pairs of 48, we need to identify all integers that divide 48 evenly (with no remainder).

Start with the smallest factor, which is always 1
Check each integer from 1 up to the square root of 48 (v48 ≈ 6.93)
For each factor found, its corresponding pair is calculated by dividing 48 by that factor

Calculation Example

Let's work through finding the factor pairs of 48:

Factor Check	Division	Result	Factor Pair
48 ÷ 1	48.00	Integer result	(1, 48)
48 ÷ 2	24.00	Integer result	(2, 24)
48 ÷ 3	16.00	Integer result	(3, 16)
48 ÷ 4	12.00	Integer result	(4, 12)
48 ÷ 5	9.60	Not a divisor	-
48 ÷ 6	8.00	Integer result	(6, 8)

Explore More Factor Pairs

Check out factor pairs of these randomly selected numbers:

Number	Factor Pairs	Total Pairs	Details
15	(1, 15), (3, 5)	2	View Details
16	(1, 16), (2, 8), (4, 4)	3	View Details
24	(1, 24), (2, 12), (3, 8), (4, 6)	4	View Details
66	(1, 66), (2, 33), (3, 22), (6, 11)	4	View Details
88	(1, 88), (2, 44), (4, 22), (8, 11)	4	View Details
100	(1, 100), (2, 50), (4, 25), (5, 20), (10, 10)	5	View Details

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More About Abundant Numbers

Abundant Numbers

An abundant number is a positive integer for which the sum of its proper divisors is greater than the number itself. The number 48 is abundant because the sum of its proper divisors (76) exceeds 48.

The smallest abundant number is 12, whose proper divisors are 1, 2, 3, 4, and 6, which sum to 16.