Factor Pairs of 51

All Factor Pairs of 51

Here are all the factor pairs of 51:

(1, 51)

(3, 17)

Total: 2 factor pairs

Visual Representation of Factors

These are all the factors of 51:

1

3

17

51

Properties of 51

Number Type

Deficient Number

Sum of All Factors

72

Sum of Proper Divisors

21

Total Factors

4

Prime Factorization

3 × 17

Perfect Square?

No

How to Calculate Factor Pairs of 51

Step-by-Step Process

To find all factor pairs of 51, we need to identify all integers that divide 51 evenly (with no remainder).

Start with the smallest factor, which is always 1
Check each integer from 1 up to the square root of 51 (v51 ≈ 7.14)
For each factor found, its corresponding pair is calculated by dividing 51 by that factor

Calculation Example

Let's work through finding the factor pairs of 51:

Factor Check	Division	Result	Factor Pair
51 ÷ 1	51.00	Integer result	(1, 51)
51 ÷ 2	25.50	Not a divisor	-
51 ÷ 3	17.00	Integer result	(3, 17)
51 ÷ 4	12.75	Not a divisor	-
51 ÷ 5	10.20	Not a divisor	-
51 ÷ 6	8.50	Not a divisor	-
51 ÷ 7	7.29	Not a divisor	-

Explore More Factor Pairs

Check out factor pairs of these randomly selected numbers:

Number	Factor Pairs	Total Pairs	Details
12	(1, 12), (2, 6), (3, 4)	3	View Details
18	(1, 18), (2, 9), (3, 6)	3	View Details
22	(1, 22), (2, 11)	2	View Details
77	(1, 77), (7, 11)	2	View Details
100	(1, 100), (2, 50), (4, 25), (5, 20), (10, 10)	5	View Details
120	(1, 120), (2, 60), (3, 40), (4, 30), (5, 24), (6, 20), (8, 15), (10, 12)	8	View 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 51 is deficient because the sum of its proper divisors (21) is less than 51.

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