Factor Pairs of 36 Perfect Square

All Factor Pairs of 36

Here are all the factor pairs of 36:

(1, 36)

(2, 18)

(3, 12)

(4, 9)

(6, 6)

Total: 5 factor pairs

Visual Representation of Factors

These are all the factors of 36:

1

2

3

4

6

9

12

18

36

Properties of 36

Number Type

Abundant Number

Sum of All Factors

91

Sum of Proper Divisors

55

Total Factors

9

Prime Factorization

2² × 3²

Perfect Square?

Yes

How to Calculate Factor Pairs of 36

Step-by-Step Process

To find all factor pairs of 36, we need to identify all integers that divide 36 evenly (with no remainder).

Start with the smallest factor, which is always 1
Check each integer from 1 up to the square root of 36 (v36 ≈ 6.00)
For each factor found, its corresponding pair is calculated by dividing 36 by that factor

Calculation Example

Let's work through finding the factor pairs of 36:

Factor Check	Division	Result	Factor Pair
36 ÷ 1	36.00	Integer result	(1, 36)
36 ÷ 2	18.00	Integer result	(2, 18)
36 ÷ 3	12.00	Integer result	(3, 12)
36 ÷ 4	9.00	Integer result	(4, 9)
36 ÷ 5	7.20	Not a divisor	-
36 ÷ 6	6.00	Integer result	(6, 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
7	(1, 7)	1	View Details
16	(1, 16), (2, 8), (4, 4)	3	View Details
35	(1, 35), (5, 7)	2	View Details
65	(1, 65), (5, 13)	2	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 36 is abundant because the sum of its proper divisors (55) exceeds 36.

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