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Factor Pairs of 144 Perfect Square
All Factor Pairs of 144
Here are all the factor pairs of 144:
(1, 144)
(2, 72)
(3, 48)
(4, 36)
(6, 24)
(8, 18)
(9, 16)
(12, 12)
Total: 8 factor pairs
Visual Representation of Factors
These are all the factors of 144:
1
2
3
4
6
8
9
12
16
18
24
36
48
72
144
Properties of 144
Number Type
Abundant Number
Sum of All Factors
403
Sum of Proper Divisors
259
Total Factors
15
Prime Factorization
24 × 32
Perfect Square?
Yes
How to Calculate Factor Pairs of 144
Step-by-Step Process
To find all factor pairs of 144, we need to identify all integers that divide 144 evenly (with no remainder).
- Start with the smallest factor, which is always 1
- Check each integer from 1 up to the square root of 144 (v144 ≈ 12.00)
- For each factor found, its corresponding pair is calculated by dividing 144 by that factor
Calculation Example
Let's work through finding the factor pairs of 144:
| Factor Check | Division | Result | Factor Pair |
|---|---|---|---|
| 144 ÷ 1 | 144.00 | Integer result | (1, 144) |
| 144 ÷ 2 | 72.00 | Integer result | (2, 72) |
| 144 ÷ 3 | 48.00 | Integer result | (3, 48) |
| 144 ÷ 4 | 36.00 | Integer result | (4, 36) |
| 144 ÷ 5 | 28.80 | Not a divisor | - |
| 144 ÷ 6 | 24.00 | Integer result | (6, 24) |
| 144 ÷ 7 | 20.57 | Not a divisor | - |
| 144 ÷ 8 | 18.00 | Integer result | (8, 18) |
| 144 ÷ 9 | 16.00 | Integer result | (9, 16) |
| 144 ÷ 10 | 14.40 | Not a divisor | - |
| 144 ÷ 11 | 13.09 | Not a divisor | - |
| 144 ÷ 12 | 12.00 | Integer result | (12, 12) |
Explore More Factor Pairs
Check out factor pairs of these randomly selected numbers:
| Number | Factor Pairs | Total Pairs | Details |
|---|---|---|---|
| 3 | (1, 3) | 1 | View Details |
| 12 | (1, 12), (2, 6), (3, 4) | 3 | View Details |
| 14 | (1, 14), (2, 7) | 2 | View Details |
| 27 | (1, 27), (3, 9) | 2 | View Details |
| 60 | (1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10) | 6 | View Details |
| 74 | (1, 74), (2, 37) | 2 | 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 144 is abundant because the sum of its proper divisors (259) exceeds 144.
The smallest abundant number is 12, whose proper divisors are 1, 2, 3, 4, and 6, which sum to 16.