Explore hidden patterns in numbers through their factor pairs

Factor Pairs of 50

All Factor Pairs of 50

Here are all the factor pairs of 50:

(1, 50)
(2, 25)
(5, 10)

Total: 3 factor pairs

Visual Representation of Factors

These are all the factors of 50:

1
2
5
10
25
50

Properties of 50

Number Type
Deficient Number
Sum of All Factors
93
Sum of Proper Divisors
43
Total Factors
6
Prime Factorization
2 × 52
Perfect Square?
No

How to Calculate Factor Pairs of 50

Step-by-Step Process

To find all factor pairs of 50, we need to identify all integers that divide 50 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 50 (v50 ≈ 7.07)
  3. For each factor found, its corresponding pair is calculated by dividing 50 by that factor

Calculation Example

Let's work through finding the factor pairs of 50:

Factor Check Division Result Factor Pair
50 ÷ 150.00Integer result(1, 50)
50 ÷ 225.00Integer result(2, 25)
50 ÷ 316.67Not a divisor-
50 ÷ 412.50Not a divisor-
50 ÷ 510.00Integer result(5, 10)
50 ÷ 68.33Not a divisor-
50 ÷ 77.14Not a divisor-

Explore More Factor Pairs

Check out factor pairs of these randomly selected numbers:

Number Factor Pairs Total Pairs Details
2(1, 2)1View Details
6(1, 6), (2, 3)2View Details
13(1, 13)1View Details
24(1, 24), (2, 12), (3, 8), (4, 6)4View Details
26(1, 26), (2, 13)2View Details
50(1, 50), (2, 25), (5, 10)3View Details

This table refreshes with new examples each time you visit.

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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 50 is deficient because the sum of its proper divisors (43) is less than 50.

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