# Factoring Calculator | Find Factors of a Number

Created By : Jatin Gogia
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Calculate Factors of many Numbers using the Factoring Calculator. Simply, provide the numerals in the respective input provision and press the calculate button to get the Factoring Result in no time.

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:

Factoring Calculator: Trying to figure out Factoring and looking for an online tool that makes your job easy. Learning will be much easier and more fun with the Online Calculator for Factoring. Grab the chance of the free online tools and get accurate yet straightforward descriptions. Understand the concept easily with the detailed procedure listed for Factoring.

Here are some samples of factoring calculations.

Related Calculators:

### 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 is Factoring?

According to Mathematics, factorisation or factoring of Positive integers can be defined as the number that are Positive integers which can be divided and in that remainder remain zero.

However, it is important to have a factoring Positive Integer which has 2 factors 1 and the number itself. These numbers have only 2 factors: the numbers are called prime numbers.

### Factorization:

The factorisation is defined as a number term as a Positive integer that is factorization which makes an exponential form into a compact.

### How to Factor Numbers?

You can identify the factors as the whole number or as a Positive Integer factor and factors can be determined using the trial method and multiplication method. Factor numbers are divisible by the product of that number. Factors don’t have any decimal fractions; they have the whole number as a Positive Integer. All the even numbers as factors must have 2 in them.

### Solved Example: How to Calculate Factoring of Positive integer using the division method

Example:

Perform the Factoring for the positive integer 48 using the division method

Solution:

Given positive integer 48,

To perform factoring, let’s find out the square root

48 /1 =48

48/2= 24

48/3= 16

48/4= 12

48/6= 8

48/8= 6

Hence the factors for 48 are1,2,3,4,6,8,12,16,24, and 48.

### Factoring Calculator with Steps

To calculate the factor of Positive Integer. Following the steps using the division method.

1. Consider the square root of that number as a Positive Integer as n.
2. You can start with the number 1 and using the factor with a Positive integer you can divide by n/1. You can consider the whole number.
3. Take another factor number which has the remainder as 0.
4. Finally, you will find the factor of the number of Positive Integers as pairs results as n/s with remainder zero.

Avail the handy calculator for any kind of Factoring math concepts all under one roof hcflcm.com and clear all your queries during your homework or assignments.

### FAQs on Factoring Calculator With Steps

1. What are the 4 types of factoring?

Four types of factoring include the grouping method, the sum and differences in cubes, the difference in two squares and GCF (the greatest common factor).

2. What are the factors of 36?

The factors of 36 are listed below:

1,2,3,4,6,9,12,18,and 36.

3. What is common factoring?

A common factor refers to a number that is the factor of two or more numbers.

4. Why do we use factoring?

Factoring is very useful as it helps in determining the GCF of any number which is many times important in solving arithmetics and geometry as well.