Factor Pairs of 64 Perfect Square

All Factor Pairs of 64

Here are all the factor pairs of 64:

(1, 64)

(2, 32)

(4, 16)

(8, 8)

Total: 4 factor pairs

Visual Representation of Factors

These are all the factors of 64:

1

2

4

8

16

32

64

Properties of 64

Number Type

Deficient Number

Sum of All Factors

127

Sum of Proper Divisors

63

Total Factors

7

Prime Factorization

2⁶

Perfect Square?

Yes

How to Calculate Factor Pairs of 64

Step-by-Step Process

To find all factor pairs of 64, we need to identify all integers that divide 64 evenly (with no remainder).

Start with the smallest factor, which is always 1
Check each integer from 1 up to the square root of 64 (v64 ≈ 8.00)
For each factor found, its corresponding pair is calculated by dividing 64 by that factor

Calculation Example

Let's work through finding the factor pairs of 64:

Factor Check	Division	Result	Factor Pair
64 ÷ 1	64.00	Integer result	(1, 64)
64 ÷ 2	32.00	Integer result	(2, 32)
64 ÷ 3	21.33	Not a divisor	-
64 ÷ 4	16.00	Integer result	(4, 16)
64 ÷ 5	12.80	Not a divisor	-
64 ÷ 6	10.67	Not a divisor	-
64 ÷ 7	9.14	Not a divisor	-
64 ÷ 8	8.00	Integer result	(8, 8)

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
20	(1, 20), (2, 10), (4, 5)	3	View Details
51	(1, 51), (3, 17)	2	View Details
71	(1, 71)	1	View Details
100	(1, 100), (2, 50), (4, 25), (5, 20), (10, 10)	5	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 64 is deficient because the sum of its proper divisors (63) is less than 64.

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