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Factor Pairs of 1,024 Perfect Square
All Factor Pairs of 1,024
Here are all the factor pairs of 1,024:
(1, 1,024)
(2, 512)
(4, 256)
(8, 128)
(16, 64)
(32, 32)
Total: 6 factor pairs
Visual Representation of Factors
These are all the factors of 1,024:
1
2
4
8
16
32
64
128
256
512
1,024
Properties of 1,024
Number Type
Deficient Number
Sum of All Factors
2,047
Sum of Proper Divisors
1,023
Total Factors
11
Prime Factorization
210
Perfect Square?
Yes
How to Calculate Factor Pairs of 1,024
Step-by-Step Process
To find all factor pairs of 1,024, we need to identify all integers that divide 1,024 evenly (with no remainder).
- Start with the smallest factor, which is always 1
- Check each integer from 1 up to the square root of 1,024 (v1,024 ≈ 32.00)
- For each factor found, its corresponding pair is calculated by dividing 1,024 by that factor
Calculation Example
Let's work through finding the factor pairs of 1,024:
| Factor Check | Division | Result | Factor Pair |
|---|---|---|---|
| 1024 ÷ 1 | 1,024.00 | Integer result | (1, 1,024) |
| 1024 ÷ 2 | 512.00 | Integer result | (2, 512) |
| 1024 ÷ 3 | 341.33 | Not a divisor | - |
| 1024 ÷ 4 | 256.00 | Integer result | (4, 256) |
| 1024 ÷ 5 | 204.80 | Not a divisor | - |
| 1024 ÷ 6 | 170.67 | Not a divisor | - |
| 1024 ÷ 7 | 146.29 | Not a divisor | - |
| 1024 ÷ 8 | 128.00 | Integer result | (8, 128) |
| 1024 ÷ 9 | 113.78 | Not a divisor | - |
| 1024 ÷ 10 | 102.40 | Not a divisor | - |
| 1024 ÷ 11 | 93.09 | Not a divisor | - |
| 1024 ÷ 12 | 85.33 | Not a divisor | - |
| 1024 ÷ 13 | 78.77 | Not a divisor | - |
| 1024 ÷ 14 | 73.14 | Not a divisor | - |
| 1024 ÷ 15 | 68.27 | Not a divisor | - |
| 1024 ÷ 16 | 64.00 | Integer result | (16, 64) |
| 1024 ÷ 17 | 60.24 | Not a divisor | - |
| 1024 ÷ 18 | 56.89 | Not a divisor | - |
| 1024 ÷ 19 | 53.89 | Not a divisor | - |
| 1024 ÷ 20 | 51.20 | Not a divisor | - |
| 1024 ÷ 21 | 48.76 | Not a divisor | - |
| 1024 ÷ 22 | 46.55 | Not a divisor | - |
| 1024 ÷ 23 | 44.52 | Not a divisor | - |
| 1024 ÷ 24 | 42.67 | Not a divisor | - |
| 1024 ÷ 25 | 40.96 | Not a divisor | - |
| 1024 ÷ 26 | 39.38 | Not a divisor | - |
| 1024 ÷ 27 | 37.93 | Not a divisor | - |
| 1024 ÷ 28 | 36.57 | Not a divisor | - |
| 1024 ÷ 29 | 35.31 | Not a divisor | - |
| 1024 ÷ 30 | 34.13 | Not a divisor | - |
| 1024 ÷ 31 | 33.03 | Not a divisor | - |
| 1024 ÷ 32 | 32.00 | Integer result | (32, 32) |
Explore More Factor Pairs
Check out factor pairs of these randomly selected numbers:
| Number | Factor Pairs | Total Pairs | Details |
|---|---|---|---|
| 5 | (1, 5) | 1 | View Details |
| 19 | (1, 19) | 1 | View Details |
| 24 | (1, 24), (2, 12), (3, 8), (4, 6) | 4 | View Details |
| 28 | (1, 28), (2, 14), (4, 7) | 3 | View Details |
| 65 | (1, 65), (5, 13) | 2 | View Details |
| 89 | (1, 89) | 1 | View Details |
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More About Deficient Numbers
Deficient Numbers
A deficient number is a positive integer for which the sum of its proper divisors is less than the number itself. The number 1,024 is deficient because the sum of its proper divisors (1,023) is less than 1,024.
All prime numbers are deficient since their only proper divisor is 1.