Explore hidden patterns in numbers through their factor pairs

Factor Pairs of 28

All Factor Pairs of 28

Here are all the factor pairs of 28:

(1, 28)
(2, 14)
(4, 7)

Total: 3 factor pairs

Visual Representation of Factors

These are all the factors of 28:

1
2
4
7
14
28

Properties of 28

Number Type
Perfect Number
Sum of All Factors
56
Sum of Proper Divisors
28
Total Factors
6
Prime Factorization
22 × 7
Perfect Square?
No

How to Calculate Factor Pairs of 28

Step-by-Step Process

To find all factor pairs of 28, we need to identify all integers that divide 28 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 28 (v28 ≈ 5.29)
  3. For each factor found, its corresponding pair is calculated by dividing 28 by that factor

Calculation Example

Let's work through finding the factor pairs of 28:

Factor Check Division Result Factor Pair
28 ÷ 128.00Integer result(1, 28)
28 ÷ 214.00Integer result(2, 14)
28 ÷ 39.33Not a divisor-
28 ÷ 47.00Integer result(4, 7)
28 ÷ 55.60Not 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
8(1, 8), (2, 4)2View Details
36(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)5View Details
54(1, 54), (2, 27), (3, 18), (6, 9)4View Details
60(1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10)6View Details
80(1, 80), (2, 40), (4, 20), (5, 16), (8, 10)5View Details

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More About Perfect Numbers

Perfect Numbers

A perfect number is a positive integer that is equal to the sum of its proper divisors. The number 28 is a perfect number because the sum of its proper divisors (1 + 2 + 4 + 7 + 14) equals 28.

Perfect numbers are extremely rare. The first few perfect numbers are: 6, 28, 496, and 8128.