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Factor Pairs of 180
All Factor Pairs of 180
Here are all the factor pairs of 180:
(1, 180)
(2, 90)
(3, 60)
(4, 45)
(5, 36)
(6, 30)
(9, 20)
(10, 18)
(12, 15)
Total: 9 factor pairs
Visual Representation of Factors
These are all the factors of 180:
1
2
3
4
5
6
9
10
12
15
18
20
30
36
45
60
90
180
Properties of 180
Number Type
Abundant Number
Sum of All Factors
546
Sum of Proper Divisors
366
Total Factors
18
Prime Factorization
22 × 32 × 5
Perfect Square?
No
How to Calculate Factor Pairs of 180
Step-by-Step Process
To find all factor pairs of 180, we need to identify all integers that divide 180 evenly (with no remainder).
- Start with the smallest factor, which is always 1
- Check each integer from 1 up to the square root of 180 (v180 ≈ 13.42)
- For each factor found, its corresponding pair is calculated by dividing 180 by that factor
Calculation Example
Let's work through finding the factor pairs of 180:
| Factor Check | Division | Result | Factor Pair |
|---|---|---|---|
| 180 ÷ 1 | 180.00 | Integer result | (1, 180) |
| 180 ÷ 2 | 90.00 | Integer result | (2, 90) |
| 180 ÷ 3 | 60.00 | Integer result | (3, 60) |
| 180 ÷ 4 | 45.00 | Integer result | (4, 45) |
| 180 ÷ 5 | 36.00 | Integer result | (5, 36) |
| 180 ÷ 6 | 30.00 | Integer result | (6, 30) |
| 180 ÷ 7 | 25.71 | Not a divisor | - |
| 180 ÷ 8 | 22.50 | Not a divisor | - |
| 180 ÷ 9 | 20.00 | Integer result | (9, 20) |
| 180 ÷ 10 | 18.00 | Integer result | (10, 18) |
| 180 ÷ 11 | 16.36 | Not a divisor | - |
| 180 ÷ 12 | 15.00 | Integer result | (12, 15) |
| 180 ÷ 13 | 13.85 | Not a divisor | - |
Explore More Factor Pairs
Check out factor pairs of these randomly selected numbers:
| Number | Factor Pairs | Total Pairs | Details |
|---|---|---|---|
| 2 | (1, 2) | 1 | View Details |
| 11 | (1, 11) | 1 | View Details |
| 48 | (1, 48), (2, 24), (3, 16), (4, 12), (6, 8) | 5 | View Details |
| 56 | (1, 56), (2, 28), (4, 14), (7, 8) | 4 | View Details |
| 98 | (1, 98), (2, 49), (7, 14) | 3 | View Details |
| 100 | (1, 100), (2, 50), (4, 25), (5, 20), (10, 10) | 5 | 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 180 is abundant because the sum of its proper divisors (366) exceeds 180.
The smallest abundant number is 12, whose proper divisors are 1, 2, 3, 4, and 6, which sum to 16.