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Factor Pairs of 448
All Factor Pairs of 448
Here are all the factor pairs of 448:
(1, 448)
(2, 224)
(4, 112)
(7, 64)
(8, 56)
(14, 32)
(16, 28)
Total: 7 factor pairs
Visual Representation of Factors
These are all the factors of 448:
1
2
4
7
8
14
16
28
32
56
64
112
224
448
Properties of 448
Number Type
Abundant Number
Sum of All Factors
1,016
Sum of Proper Divisors
568
Total Factors
14
Prime Factorization
26 × 7
Perfect Square?
No
How to Calculate Factor Pairs of 448
Step-by-Step Process
To find all factor pairs of 448, we need to identify all integers that divide 448 evenly (with no remainder).
- Start with the smallest factor, which is always 1
- Check each integer from 1 up to the square root of 448 (v448 ≈ 21.17)
- For each factor found, its corresponding pair is calculated by dividing 448 by that factor
Calculation Example
Let's work through finding the factor pairs of 448:
| Factor Check | Division | Result | Factor Pair |
|---|---|---|---|
| 448 ÷ 1 | 448.00 | Integer result | (1, 448) |
| 448 ÷ 2 | 224.00 | Integer result | (2, 224) |
| 448 ÷ 3 | 149.33 | Not a divisor | - |
| 448 ÷ 4 | 112.00 | Integer result | (4, 112) |
| 448 ÷ 5 | 89.60 | Not a divisor | - |
| 448 ÷ 6 | 74.67 | Not a divisor | - |
| 448 ÷ 7 | 64.00 | Integer result | (7, 64) |
| 448 ÷ 8 | 56.00 | Integer result | (8, 56) |
| 448 ÷ 9 | 49.78 | Not a divisor | - |
| 448 ÷ 10 | 44.80 | Not a divisor | - |
| 448 ÷ 11 | 40.73 | Not a divisor | - |
| 448 ÷ 12 | 37.33 | Not a divisor | - |
| 448 ÷ 13 | 34.46 | Not a divisor | - |
| 448 ÷ 14 | 32.00 | Integer result | (14, 32) |
| 448 ÷ 15 | 29.87 | Not a divisor | - |
| 448 ÷ 16 | 28.00 | Integer result | (16, 28) |
| 448 ÷ 17 | 26.35 | Not a divisor | - |
| 448 ÷ 18 | 24.89 | Not a divisor | - |
| 448 ÷ 19 | 23.58 | Not a divisor | - |
| 448 ÷ 20 | 22.40 | Not a divisor | - |
| 448 ÷ 21 | 21.33 | Not a divisor | - |
Explore More Factor Pairs
Check out factor pairs of these randomly selected numbers:
| Number | Factor Pairs | Total Pairs | Details |
|---|---|---|---|
| 12 | (1, 12), (2, 6), (3, 4) | 3 | View Details |
| 15 | (1, 15), (3, 5) | 2 | View Details |
| 72 | (1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9) | 6 | View Details |
| 83 | (1, 83) | 1 | View Details |
| 100 | (1, 100), (2, 50), (4, 25), (5, 20), (10, 10) | 5 | View Details |
| 120 | (1, 120), (2, 60), (3, 40), (4, 30), (5, 24), (6, 20), (8, 15), (10, 12) | 8 | 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 448 is abundant because the sum of its proper divisors (568) exceeds 448.
The smallest abundant number is 12, whose proper divisors are 1, 2, 3, 4, and 6, which sum to 16.