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Factor Pairs of 288
All Factor Pairs of 288
Here are all the factor pairs of 288:
(1, 288)
(2, 144)
(3, 96)
(4, 72)
(6, 48)
(8, 36)
(9, 32)
(12, 24)
(16, 18)
Total: 9 factor pairs
Visual Representation of Factors
These are all the factors of 288:
1
2
3
4
6
8
9
12
16
18
24
32
36
48
72
96
144
288
Properties of 288
Number Type
Abundant Number
Sum of All Factors
819
Sum of Proper Divisors
531
Total Factors
18
Prime Factorization
25 × 32
Perfect Square?
No
How to Calculate Factor Pairs of 288
Step-by-Step Process
To find all factor pairs of 288, we need to identify all integers that divide 288 evenly (with no remainder).
- Start with the smallest factor, which is always 1
- Check each integer from 1 up to the square root of 288 (v288 ≈ 16.97)
- For each factor found, its corresponding pair is calculated by dividing 288 by that factor
Calculation Example
Let's work through finding the factor pairs of 288:
| Factor Check | Division | Result | Factor Pair |
|---|---|---|---|
| 288 ÷ 1 | 288.00 | Integer result | (1, 288) |
| 288 ÷ 2 | 144.00 | Integer result | (2, 144) |
| 288 ÷ 3 | 96.00 | Integer result | (3, 96) |
| 288 ÷ 4 | 72.00 | Integer result | (4, 72) |
| 288 ÷ 5 | 57.60 | Not a divisor | - |
| 288 ÷ 6 | 48.00 | Integer result | (6, 48) |
| 288 ÷ 7 | 41.14 | Not a divisor | - |
| 288 ÷ 8 | 36.00 | Integer result | (8, 36) |
| 288 ÷ 9 | 32.00 | Integer result | (9, 32) |
| 288 ÷ 10 | 28.80 | Not a divisor | - |
| 288 ÷ 11 | 26.18 | Not a divisor | - |
| 288 ÷ 12 | 24.00 | Integer result | (12, 24) |
| 288 ÷ 13 | 22.15 | Not a divisor | - |
| 288 ÷ 14 | 20.57 | Not a divisor | - |
| 288 ÷ 15 | 19.20 | Not a divisor | - |
| 288 ÷ 16 | 18.00 | Integer result | (16, 18) |
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 |
| 16 | (1, 16), (2, 8), (4, 4) | 3 | View Details |
| 24 | (1, 24), (2, 12), (3, 8), (4, 6) | 4 | View Details |
| 72 | (1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9) | 6 | View Details |
| 84 | (1, 84), (2, 42), (3, 28), (4, 21), (6, 14), (7, 12) | 6 | View Details |
| 91 | (1, 91), (7, 13) | 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 288 is abundant because the sum of its proper divisors (531) exceeds 288.
The smallest abundant number is 12, whose proper divisors are 1, 2, 3, 4, and 6, which sum to 16.