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Factor Pairs of 49 Perfect Square
All Factor Pairs of 49
Here are all the factor pairs of 49:
(1, 49)
(7, 7)
Total: 2 factor pairs
Visual Representation of Factors
These are all the factors of 49:
1
7
49
Properties of 49
Number Type
Deficient Number
Sum of All Factors
57
Sum of Proper Divisors
8
Total Factors
3
Prime Factorization
72
Perfect Square?
Yes
How to Calculate Factor Pairs of 49
Step-by-Step Process
To find all factor pairs of 49, we need to identify all integers that divide 49 evenly (with no remainder).
- Start with the smallest factor, which is always 1
- Check each integer from 1 up to the square root of 49 (v49 ≈ 7.00)
- For each factor found, its corresponding pair is calculated by dividing 49 by that factor
Calculation Example
Let's work through finding the factor pairs of 49:
| Factor Check | Division | Result | Factor Pair |
|---|---|---|---|
| 49 ÷ 1 | 49.00 | Integer result | (1, 49) |
| 49 ÷ 2 | 24.50 | Not a divisor | - |
| 49 ÷ 3 | 16.33 | Not a divisor | - |
| 49 ÷ 4 | 12.25 | Not a divisor | - |
| 49 ÷ 5 | 9.80 | Not a divisor | - |
| 49 ÷ 6 | 8.17 | Not a divisor | - |
| 49 ÷ 7 | 7.00 | Integer result | (7, 7) |
Explore More Factor Pairs
Check out factor pairs of these randomly selected numbers:
| Number | Factor Pairs | Total Pairs | Details |
|---|---|---|---|
| 4 | (1, 4), (2, 2) | 2 | View Details |
| 6 | (1, 6), (2, 3) | 2 | View Details |
| 12 | (1, 12), (2, 6), (3, 4) | 3 | View Details |
| 70 | (1, 70), (2, 35), (5, 14), (7, 10) | 4 | View Details |
| 87 | (1, 87), (3, 29) | 2 | View Details |
| 144 | (1, 144), (2, 72), (3, 48), (4, 36), (6, 24), (8, 18), (9, 16), (12, 12) | 8 | 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 49 is deficient because the sum of its proper divisors (8) is less than 49.
All prime numbers are deficient since their only proper divisor is 1.