Factor Pairs of 31 Prime

All Factor Pairs of 31

Here are all the factor pairs of 31:

(1, 31)

Total: 1 factor pair

Prime Number

31 is a prime number, which means it has exactly two factors: 1 and itself. This is why it has only one factor pair.

Visual Representation of Factors

These are all the factors of 31:

1

31

Properties of 31

Number Type

Deficient Number

Sum of All Factors

32

Sum of Proper Divisors

1

Total Factors

2

Prime Factorization

31

Perfect Square?

No

How to Calculate Factor Pairs of 31

Step-by-Step Process

To find all factor pairs of 31, we need to identify all integers that divide 31 evenly (with no remainder).

Start with the smallest factor, which is always 1
Check each integer from 1 up to the square root of 31 (v31 ≈ 5.57)
For each factor found, its corresponding pair is calculated by dividing 31 by that factor

Calculation Example

Let's work through finding the factor pairs of 31:

Factor Check	Division	Result	Factor Pair
31 ÷ 1	31.00	Integer result	(1, 31)
31 ÷ 2	15.50	Not a divisor	-
31 ÷ 3	10.33	Not a divisor	-
31 ÷ 4	7.75	Not a divisor	-
31 ÷ 5	6.20	Not a divisor	-

Explore More Factor Pairs

Check out factor pairs of these randomly selected numbers:

Number	Factor Pairs	Total Pairs	Details
3	(1, 3)	1	View Details
4	(1, 4), (2, 2)	2	View Details
44	(1, 44), (2, 22), (4, 11)	3	View Details
71	(1, 71)	1	View Details
72	(1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9)	6	View Details
120	(1, 120), (2, 60), (3, 40), (4, 30), (5, 24), (6, 20), (8, 15), (10, 12)	8	View 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 31 is deficient because the sum of its proper divisors (1) is less than 31.

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