Explore hidden patterns in numbers through their factor pairs

Factor Pairs of 15

All Factor Pairs of 15

Here are all the factor pairs of 15:

(1, 15)
(3, 5)

Total: 2 factor pairs

Visual Representation of Factors

These are all the factors of 15:

1
3
5
15

Properties of 15

Number Type
Deficient Number
Sum of All Factors
24
Sum of Proper Divisors
9
Total Factors
4
Prime Factorization
3 × 5
Perfect Square?
No

How to Calculate Factor Pairs of 15

Step-by-Step Process

To find all factor pairs of 15, we need to identify all integers that divide 15 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 15 (v15 ≈ 3.87)
  3. For each factor found, its corresponding pair is calculated by dividing 15 by that factor

Calculation Example

Let's work through finding the factor pairs of 15:

Factor Check Division Result Factor Pair
15 ÷ 115.00Integer result(1, 15)
15 ÷ 27.50Not a divisor-
15 ÷ 35.00Integer result(3, 5)

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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 15 is deficient because the sum of its proper divisors (9) is less than 15.

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