Factor Pairs of 42

All Factor Pairs of 42

Here are all the factor pairs of 42:

(1, 42)

(2, 21)

(3, 14)

(6, 7)

Total: 4 factor pairs

Visual Representation of Factors

These are all the factors of 42:

1

2

3

6

7

14

21

42

Properties of 42

Number Type

Abundant Number

Sum of All Factors

96

Sum of Proper Divisors

54

Total Factors

8

Prime Factorization

2 × 3 × 7

Perfect Square?

No

How to Calculate Factor Pairs of 42

Step-by-Step Process

To find all factor pairs of 42, we need to identify all integers that divide 42 evenly (with no remainder).

Start with the smallest factor, which is always 1
Check each integer from 1 up to the square root of 42 (v42 ≈ 6.48)
For each factor found, its corresponding pair is calculated by dividing 42 by that factor

Calculation Example

Let's work through finding the factor pairs of 42:

Factor Check	Division	Result	Factor Pair
42 ÷ 1	42.00	Integer result	(1, 42)
42 ÷ 2	21.00	Integer result	(2, 21)
42 ÷ 3	14.00	Integer result	(3, 14)
42 ÷ 4	10.50	Not a divisor	-
42 ÷ 5	8.40	Not a divisor	-
42 ÷ 6	7.00	Integer result	(6, 7)

Explore More Factor Pairs

Check out factor pairs of these randomly selected numbers:

Number	Factor Pairs	Total Pairs	Details
9	(1, 9), (3, 3)	2	View Details
17	(1, 17)	1	View Details
22	(1, 22), (2, 11)	2	View Details
25	(1, 25), (5, 5)	2	View Details
96	(1, 96), (2, 48), (3, 32), (4, 24), (6, 16), (8, 12)	6	View Details
120	(1, 120), (2, 60), (3, 40), (4, 30), (5, 24), (6, 20), (8, 15), (10, 12)	8	View Details

This table refreshes with new examples each time you visit.

Calculate Factor Pairs of Another Number

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 42 is abundant because the sum of its proper divisors (54) exceeds 42.

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