Factor Pairs of 52

All Factor Pairs of 52

Here are all the factor pairs of 52:

(1, 52)

(2, 26)

(4, 13)

Total: 3 factor pairs

Visual Representation of Factors

These are all the factors of 52:

1

2

4

13

26

52

Properties of 52

Number Type

Deficient Number

Sum of All Factors

98

Sum of Proper Divisors

46

Total Factors

6

Prime Factorization

2² × 13

Perfect Square?

No

How to Calculate Factor Pairs of 52

Step-by-Step Process

To find all factor pairs of 52, we need to identify all integers that divide 52 evenly (with no remainder).

Start with the smallest factor, which is always 1
Check each integer from 1 up to the square root of 52 (v52 ≈ 7.21)
For each factor found, its corresponding pair is calculated by dividing 52 by that factor

Calculation Example

Let's work through finding the factor pairs of 52:

Factor Check	Division	Result	Factor Pair
52 ÷ 1	52.00	Integer result	(1, 52)
52 ÷ 2	26.00	Integer result	(2, 26)
52 ÷ 3	17.33	Not a divisor	-
52 ÷ 4	13.00	Integer result	(4, 13)
52 ÷ 5	10.40	Not a divisor	-
52 ÷ 6	8.67	Not a divisor	-
52 ÷ 7	7.43	Not a divisor	-

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
11	(1, 11)	1	View Details
16	(1, 16), (2, 8), (4, 4)	3	View Details
74	(1, 74), (2, 37)	2	View Details
96	(1, 96), (2, 48), (3, 32), (4, 24), (6, 16), (8, 12)	6	View Details
99	(1, 99), (3, 33), (9, 11)	3	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 52 is deficient because the sum of its proper divisors (46) is less than 52.

All prime numbers are deficient since their only proper divisor is 1.