Factor Pairs of 30

All Factor Pairs of 30

Here are all the factor pairs of 30:

(1, 30)

(2, 15)

(3, 10)

(5, 6)

Total: 4 factor pairs

Visual Representation of Factors

These are all the factors of 30:

1

2

3

5

6

10

15

30

Properties of 30

Number Type

Abundant Number

Sum of All Factors

72

Sum of Proper Divisors

42

Total Factors

8

Prime Factorization

2 × 3 × 5

Perfect Square?

No

How to Calculate Factor Pairs of 30

Step-by-Step Process

To find all factor pairs of 30, we need to identify all integers that divide 30 evenly (with no remainder).

Start with the smallest factor, which is always 1
Check each integer from 1 up to the square root of 30 (v30 ≈ 5.48)
For each factor found, its corresponding pair is calculated by dividing 30 by that factor

Calculation Example

Let's work through finding the factor pairs of 30:

Factor Check	Division	Result	Factor Pair
30 ÷ 1	30.00	Integer result	(1, 30)
30 ÷ 2	15.00	Integer result	(2, 15)
30 ÷ 3	10.00	Integer result	(3, 10)
30 ÷ 4	7.50	Not a divisor	-
30 ÷ 5	6.00	Integer result	(5, 6)

Explore More Factor Pairs

Check out factor pairs of these randomly selected numbers:

Number	Factor Pairs	Total Pairs	Details
6	(1, 6), (2, 3)	2	View Details
13	(1, 13)	1	View Details
18	(1, 18), (2, 9), (3, 6)	3	View Details
34	(1, 34), (2, 17)	2	View Details
48	(1, 48), (2, 24), (3, 16), (4, 12), (6, 8)	5	View Details
88	(1, 88), (2, 44), (4, 22), (8, 11)	4	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 30 is abundant because the sum of its proper divisors (42) exceeds 30.

The smallest abundant number is 12, whose proper divisors are 1, 2, 3, 4, and 6, which sum to 16.