Explore hidden patterns in numbers through their factor pairs

Factor Pairs of 40

All Factor Pairs of 40

Here are all the factor pairs of 40:

(1, 40)
(2, 20)
(4, 10)
(5, 8)

Total: 4 factor pairs

Visual Representation of Factors

These are all the factors of 40:

1
2
4
5
8
10
20
40

Properties of 40

Number Type
Abundant Number
Sum of All Factors
90
Sum of Proper Divisors
50
Total Factors
8
Prime Factorization
23 × 5
Perfect Square?
No

How to Calculate Factor Pairs of 40

Step-by-Step Process

To find all factor pairs of 40, we need to identify all integers that divide 40 evenly (with no remainder).

  1. Start with the smallest factor, which is always 1
  2. Check each integer from 1 up to the square root of 40 (v40 ≈ 6.32)
  3. For each factor found, its corresponding pair is calculated by dividing 40 by that factor

Calculation Example

Let's work through finding the factor pairs of 40:

Factor Check Division Result Factor Pair
40 ÷ 140.00Integer result(1, 40)
40 ÷ 220.00Integer result(2, 20)
40 ÷ 313.33Not a divisor-
40 ÷ 410.00Integer result(4, 10)
40 ÷ 58.00Integer result(5, 8)
40 ÷ 66.67Not a divisor-

Explore More Factor Pairs

Check out factor pairs of these randomly selected numbers:

Number Factor Pairs Total Pairs Details
4(1, 4), (2, 2)2View Details
12(1, 12), (2, 6), (3, 4)3View Details
39(1, 39), (3, 13)2View Details
80(1, 80), (2, 40), (4, 20), (5, 16), (8, 10)5View Details
96(1, 96), (2, 48), (3, 32), (4, 24), (6, 16), (8, 12)6View Details
144(1, 144), (2, 72), (3, 48), (4, 36), (6, 24), (8, 18), (9, 16), (12, 12)8View 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 40 is abundant because the sum of its proper divisors (50) exceeds 40.

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