Factor Pairs of 45

All Factor Pairs of 45

Here are all the factor pairs of 45:

(1, 45)

(3, 15)

(5, 9)

Total: 3 factor pairs

Visual Representation of Factors

These are all the factors of 45:

1

3

5

9

15

45

Properties of 45

Number Type

Deficient Number

Sum of All Factors

78

Sum of Proper Divisors

33

Total Factors

6

Prime Factorization

3² × 5

Perfect Square?

No

How to Calculate Factor Pairs of 45

Step-by-Step Process

To find all factor pairs of 45, we need to identify all integers that divide 45 evenly (with no remainder).

Start with the smallest factor, which is always 1
Check each integer from 1 up to the square root of 45 (v45 ≈ 6.71)
For each factor found, its corresponding pair is calculated by dividing 45 by that factor

Calculation Example

Let's work through finding the factor pairs of 45:

Factor Check	Division	Result	Factor Pair
45 ÷ 1	45.00	Integer result	(1, 45)
45 ÷ 2	22.50	Not a divisor	-
45 ÷ 3	15.00	Integer result	(3, 15)
45 ÷ 4	11.25	Not a divisor	-
45 ÷ 5	9.00	Integer result	(5, 9)
45 ÷ 6	7.50	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
19	(1, 19)	1	View Details
40	(1, 40), (2, 20), (4, 10), (5, 8)	4	View Details
72	(1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9)	6	View Details
79	(1, 79)	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 45 is deficient because the sum of its proper divisors (33) is less than 45.

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