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Factoring Calculator | Find Factors of a Number

Factoring Calculator calculates the factors and factor pairs of positive integers. All you have to do is enter an positive integer or natural number value and you will find the factors.

Please type a positive integer number and hit 'Calculate Factors' button find the factors.

Ex: Factors of 25 (or) Factors of 46 (or) Factors of 57

Factors of:

Here are some samples of factoring calculations.


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Factors of Each Number from 1 to 100


Factor of 1: 1

Factors of 2: 1, 2

Factors of 3: 1, 3

Factors of 4: 1, 2, 4

Factors of 5: 1, 5

Factors of 6: 1, 2, 3, 6

Factors of 7: 1, 7

Factors of 8: 1, 2, 4, 8

Factors of 9: 1, 3, 9

Factors of 10: 1, 2, 5, 10

Factors of 11: 1, 11

Factors of 12: 1, 2, 3, 4, 6, 12

Factors of 13: 1, 13

Factors of 14: 1, 2, 7, 14

Factors of 15: 1, 3, 5, 15

Factors of 16: 1, 2, 4, 8, 16

Factors of 17: 1, 17

Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 19: 1, 19

Factors of 20: 1, 2, 4, 5, 10, 20

Factors of 21: 1, 3, 7, 21

Factors of 22: 1, 2, 11, 22

Factors of 23: 1, 23

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factors of 25: 1, 5, 25

Factors of 26: 1, 2, 13, 26

Factors of 27: 1, 3, 9, 27

Factors of 28: 1, 2, 4, 7, 14, 28

Factors of 29: 1, 29

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 31: 1, 31

Factors of 32: 1, 2, 4, 8, 16, 32

Factors of 33: 1, 3, 11, 33

Factors of 34: 1, 2, 17, 34

Factors of 35: 1, 5, 7, 35

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 37: 1, 37

Factors of 38: 1, 2, 19, 38

Factors of 39: 1, 3, 13, 39

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

Factors of 41: 1, 41

Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

Factors of 43: 1, 43

Factors of 44: 1, 2, 4, 11, 22, 44

Factors of 45: 1, 3, 5, 9, 15, 45

Factors of 46: 1, 2, 23, 46

Factors of 47: 1, 47

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factors of 49: 1, 7, 49

Factors of 50: 1, 2, 5, 10, 25, 50

Factors of 51: 1, 3, 17, 51

Factors of 52: 1, 2, 4, 13, 26, 52

Factors of 53: 1, 53

Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

Factors of 55: 1, 5, 11, 55

Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

Factors of 57: 1, 3, 19, 57

Factors of 58: 1, 2, 29, 58

Factors of 59: 1, 59

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Factors of 61: 1, 61

Factors of 62: 1, 2, 31, 62

Factors of 63: 1, 3, 7, 9, 21, 63

Factors of 64: 1, 2, 4, 8, 16, 32, 64

Factors of 65: 1, 5, 13, 65

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

Factors of 67: 1, 67

Factors of 68: 1, 2, 4, 17, 34, 68

Factors of 69: 1, 3, 23, 69

Factors of 70: 1, 2, 5, 7, 10, 14, 35, 70

Factors of 71: 1, 71

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Factors of 73: 1, 73

Factors of 74: 1, 2, 37, 74

Factors of 75: 1, 3, 5, 15, 25, 75

Factors of 76: 1, 2, 4, 19, 38, 76

Factors of 77: 1, 7, 11, 77

Factors of 78: 1, 2, 3, 6, 13, 26, 39, 78

Factors of 79: 1, 79

Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Factors of 81: 1, 3, 9, 27, 81

Factors of 82: 1, 2, 41, 82

Factors of 83: 1, 83

Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Factors of 85: 1, 5, 17, 85

Factors of 86: 1, 2, 43, 86

Factors of 87: 1, 3, 29, 87

Factors of 88: 1, 2, 4, 8, 11, 22, 44, 88

Factors of 89: 1, 89

Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Factors of 91: 1, 7, 13, 91

Factors of 92: 1, 2, 4, 23, 46, 92

Factors of 93: 1, 3, 31, 93

Factors of 94: 1, 2, 47, 94

Factors of 95: 1, 5, 19, 95

Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Factors of 97: 1, 97

Factors of 98: 1, 2, 7, 14, 49, 98

Factors of 99: 1, 3, 9, 11, 33, 99

Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

What are Factors?

Usually, Factors are Whole Numbers when multiplied together will result in other numbers.

For example, if you multiply a*b=c

a and b are the factors of c.

You can think of Factors in terms of division too. Factors of a number include all the numbers that divide evenly leaving no remainder. However, it is important to note that every integer number has at least two factors 1 and the number itself. If a number has only two factors then the number is a prime number.

How to Factor Numbers: Factorization

Factor Calculator factors numbers by using trial division. Use the simple steps on how to find factors of a number using trial division.

  • Find the square root of an integer number n and round them to the closest whole number. Let suppose the number be S.
  • Begin with number 1 and find the corresponding factor pair n ÷ 1 = n. Thus 1, n are the factor pair, and division results in a whole number leaving a remainder zero.
  • Repeat the same with number 2 and test all the integers (n ÷ 2, n ÷ 3, n ÷ 4… n ÷ s) up through the square root rounded to s. Note the factor pairs wherein the division you get remainder zero.
  • Once you reach n ÷ s and noted all the factor pairs you have successfully factored the number n.

Example using Trial Division

Factors of 12

The square root of 12 is 3.464 and on rounding to the closest whole number it becomes 3

Testing the integer value 1 through 3 for division into 12 with a remainder 0 we get the factor pairs (1, 12) (2,6) (3,4)(4,3)(6,2)(12,1)

Factors of 12 are 1, 2, 3, 4, 6, 12.

Cross-check problems and sums related to Factoring Concepts without any difficulty with the help of free Calculators at lcmgcf.com

Factoring Calcualtor Examples

FAQs on Factoring Calculator

1. What does a Factoring Calculator do?

Factoring Calculator computes the factors and factor pairs of the given number.

2. How to find Factors of a number?

You can find the factors of a number easily by making use of the Factoring Calculator prevailing on our page.

3. Where can I find info about Factoring with Examples?

You can get everything related to the method of factoring and how to approach a number to get the factors and factor pairs.

Factoring Calculator