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Factor Pairs of 496
All Factor Pairs of 496
Here are all the factor pairs of 496:
(1, 496)
(2, 248)
(4, 124)
(8, 62)
(16, 31)
Total: 5 factor pairs
Visual Representation of Factors
These are all the factors of 496:
1
2
4
8
16
31
62
124
248
496
Properties of 496
Number Type
Perfect Number
Sum of All Factors
992
Sum of Proper Divisors
496
Total Factors
10
Prime Factorization
24 × 31
Perfect Square?
No
How to Calculate Factor Pairs of 496
Step-by-Step Process
To find all factor pairs of 496, we need to identify all integers that divide 496 evenly (with no remainder).
- Start with the smallest factor, which is always 1
- Check each integer from 1 up to the square root of 496 (v496 ≈ 22.27)
- For each factor found, its corresponding pair is calculated by dividing 496 by that factor
Calculation Example
Let's work through finding the factor pairs of 496:
| Factor Check | Division | Result | Factor Pair |
|---|---|---|---|
| 496 ÷ 1 | 496.00 | Integer result | (1, 496) |
| 496 ÷ 2 | 248.00 | Integer result | (2, 248) |
| 496 ÷ 3 | 165.33 | Not a divisor | - |
| 496 ÷ 4 | 124.00 | Integer result | (4, 124) |
| 496 ÷ 5 | 99.20 | Not a divisor | - |
| 496 ÷ 6 | 82.67 | Not a divisor | - |
| 496 ÷ 7 | 70.86 | Not a divisor | - |
| 496 ÷ 8 | 62.00 | Integer result | (8, 62) |
| 496 ÷ 9 | 55.11 | Not a divisor | - |
| 496 ÷ 10 | 49.60 | Not a divisor | - |
| 496 ÷ 11 | 45.09 | Not a divisor | - |
| 496 ÷ 12 | 41.33 | Not a divisor | - |
| 496 ÷ 13 | 38.15 | Not a divisor | - |
| 496 ÷ 14 | 35.43 | Not a divisor | - |
| 496 ÷ 15 | 33.07 | Not a divisor | - |
| 496 ÷ 16 | 31.00 | Integer result | (16, 31) |
| 496 ÷ 17 | 29.18 | Not a divisor | - |
| 496 ÷ 18 | 27.56 | Not a divisor | - |
| 496 ÷ 19 | 26.11 | Not a divisor | - |
| 496 ÷ 20 | 24.80 | Not a divisor | - |
| 496 ÷ 21 | 23.62 | Not a divisor | - |
| 496 ÷ 22 | 22.55 | Not a divisor | - |
Explore More Factor Pairs
Check out factor pairs of these randomly selected numbers:
| Number | Factor Pairs | Total Pairs | Details |
|---|---|---|---|
| 7 | (1, 7) | 1 | View Details |
| 14 | (1, 14), (2, 7) | 2 | View Details |
| 28 | (1, 28), (2, 14), (4, 7) | 3 | View Details |
| 73 | (1, 73) | 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 Perfect Numbers
Perfect Numbers
A perfect number is a positive integer that is equal to the sum of its proper divisors. The number 496 is a perfect number because the sum of its proper divisors (1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248) equals 496.
Perfect numbers are extremely rare. The first few perfect numbers are: 6, 28, 496, and 8128.