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Factor Pairs of 9 Perfect Square
All Factor Pairs of 9
Here are all the factor pairs of 9:
(1, 9)
(3, 3)
Total: 2 factor pairs
Visual Representation of Factors
These are all the factors of 9:
1
3
9
Properties of 9
Number Type
Deficient Number
Sum of All Factors
13
Sum of Proper Divisors
4
Total Factors
3
Prime Factorization
32
Perfect Square?
Yes
How to Calculate Factor Pairs of 9
Step-by-Step Process
To find all factor pairs of 9, we need to identify all integers that divide 9 evenly (with no remainder).
- Start with the smallest factor, which is always 1
- Check each integer from 1 up to the square root of 9 (v9 ≈ 3.00)
- For each factor found, its corresponding pair is calculated by dividing 9 by that factor
Calculation Example
Let's work through finding the factor pairs of 9:
| Factor Check | Division | Result | Factor Pair |
|---|---|---|---|
| 9 ÷ 1 | 9.00 | Integer result | (1, 9) |
| 9 ÷ 2 | 4.50 | Not a divisor | - |
| 9 ÷ 3 | 3.00 | Integer result | (3, 3) |
Explore More Factor Pairs
Check out factor pairs of these randomly selected numbers:
| Number | Factor Pairs | Total Pairs | Details |
|---|---|---|---|
| 8 | (1, 8), (2, 4) | 2 | View Details |
| 12 | (1, 12), (2, 6), (3, 4) | 3 | View Details |
| 30 | (1, 30), (2, 15), (3, 10), (5, 6) | 4 | View Details |
| 36 | (1, 36), (2, 18), (3, 12), (4, 9), (6, 6) | 5 | View Details |
| 72 | (1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9) | 6 | View Details |
| 144 | (1, 144), (2, 72), (3, 48), (4, 36), (6, 24), (8, 18), (9, 16), (12, 12) | 8 | View Details |
This table refreshes with new examples each time you visit.
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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 9 is deficient because the sum of its proper divisors (4) is less than 9.
All prime numbers are deficient since their only proper divisor is 1.