Explore hidden patterns in numbers through their factor pairs

Factor Pairs of 10

All Factor Pairs of 10

Here are all the factor pairs of 10:

(1, 10)
(2, 5)

Total: 2 factor pairs

Visual Representation of Factors

These are all the factors of 10:

1
2
5
10

Properties of 10

Number Type
Deficient Number
Sum of All Factors
18
Sum of Proper Divisors
8
Total Factors
4
Prime Factorization
2 × 5
Perfect Square?
No

How to Calculate Factor Pairs of 10

Step-by-Step Process

To find all factor pairs of 10, we need to identify all integers that divide 10 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 10 (v10 ≈ 3.16)
  3. For each factor found, its corresponding pair is calculated by dividing 10 by that factor

Calculation Example

Let's work through finding the factor pairs of 10:

Factor Check Division Result Factor Pair
10 ÷ 110.00Integer result(1, 10)
10 ÷ 25.00Integer result(2, 5)
10 ÷ 33.33Not a divisor-

Explore More Factor Pairs

Check out factor pairs of these randomly selected numbers:

Number Factor Pairs Total Pairs Details
9(1, 9), (3, 3)2View Details
20(1, 20), (2, 10), (4, 5)3View Details
36(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)5View Details
60(1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10)6View Details
74(1, 74), (2, 37)2View 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 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 10 is deficient because the sum of its proper divisors (8) is less than 10.

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