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# Factor Calculator

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A factor is what you call any number that will divide evenly into another number. If you want to find out the factors of any positive number, then read on. This factor calculator can surely be of assistance.

To use it is simple. You enter a positive integer and immediately get the positive factors for that number. Do you want to know what the definition of factor is and what the divisibility rules are? Find out below.

### Factor Definition: What is a Factor?

A factor, also known as a divisor, is any number that will divide neatly into another number. They are also numbers that you multiply to get another product – but one that leaves no remainder behind.

An example of a factor is 4 x 6. Both four and six are factors.

However, defining a factor and how you explain it can depend on who you ask. Some people say that factors can be negative, but when you are using a factor calculator, you’re merely working with positive factors.

Let’s take the number 10. The factors for 10 are 1, 2, 5, and 10. However, possible factors could also be negative numbers as long as they reach 10 with no remainders. For the sake of our factor calculator, we won’t be covering negative numbers as they are not common. Instead, just know that if you put a minus in front of a value, it becomes a negative factor.

### Rules of Divisibility

Remember when you first learned how to count to ten? It was a process and one that took a lot of practice. When you are trying to determine the rules of divisibility, the same concept applies. When you are learning to count to ten regarding rules of divisibility, here is what you need to know.

2. Any even number is divisible by 2
3. Any number, as long as the sum of the digits is divisible by 3
4. Last two digits have to form a number that’s divisible by 4
5. If the number ends in 5 or 0, it’s divisible by 5
6. If it’s divisible by 2 or 3, it’s divisible by 6
7. Believe it or not, the divisibility rule applies to 7, but you can find out more about it below
8. A number is divisible by 8 if the last three digits are divisible by it
9. A number is divisible by nine if the digit’s sum is too
10. If it ends in 0, it’s divisible by 10

This set of rules is helpful for anything relating to factors. You can also use a factor calculator to determine the least common multiple and prime factors and the greatest common factor as well.

### The Divisibility Rule of 7

As mentioned in the previous section, some numbers are divisible by 7, but it can be quite complicated. There are two ways you can find out.

The first method:
Take a number such as 1603 then use the following steps.
1.	Identify the last digit
3

2.	Double the last digit
2 x 3 = 6

3.	Identify the leftover digits
160

4.	Find out the difference between the doubled last digit and the remaining digits
160 – 6 = 154

5.	Repeat until you know if it’s divisible.
(1603 has factors of 1, 7, 229, and 1603)

The second method:
1.	Identify the digits in reverse order.
1603 becomes 3 0 6 1

2.	Multiply them by the digits

3.	Add them together and if it’s divisible by 7, so is your original figure

### What Else You Need to Know About the Factor Calculator

Three things might pique your curiosity in the realm of factors, and that’s prime factorization, greatest common factor, and least common multiple.

Prime factorization: this is when all the factors are prime numbers. Let’s say you had the number 24. The factors are 1, 2, 3, 4, 6, 8, 12, and 24. Not all of them are prime numbers though, so you need to break it down even further.

Greatest common factor: Equally as interesting as prime factorization is the greatest common factor – when referring to a set of numbers. Once you know the prime factorization, you can multiply all the factors in the same set. If you want to know the greatest common factor of 24, 44, and 68, you identify the prime factorizations first.

These are 2 x 2 x 2 x 3 for 24, 2 x 2 x 11 for 44, and 2 x 2 x 17 for 68. The only common factor in all of these sets is two which is in common twice with all three numbers. Therefore, the greatest common factor is 2 x 2 = 4. You can also use a Greatest Common Factor (GCF) calculator to work this out.

Least common multiple: the least common multiple (LCM) refers to the common multiple that appears the least. Identify the prime factorizations and multiply the highest power.

### What Are the Factors Of the Following Numbers:

Factors 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
Factors of     104  :   1, 2, 4, 8, 13, 26, 52, 104
Factors of     105  :   1, 3, 5, 7, 15, 21, 35, 105
Factors of     108  :   1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Factors of     110  :   1, 2, 5, 10, 11, 22, 55, 110
Factors of     112  :   1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Factors of     117  :   1, 3, 9, 13, 39, 117
Factors of     120  :   1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Factors of     121  :   1, 11, 121
Factors of     125  :   1, 5, 25, 125
Factors of     126  :   1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Factors of     130  :   1, 2, 5, 10, 13, 26, 65, 130
Factors of     132  :   1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Factors of     135  :   1, 3, 5, 9, 15, 27, 45, 135
Factors of     140  :   1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Factors of     144  :   1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Factors of     147  :   1, 3, 7, 21, 49, 147
Factors of     150  :   1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Factors of     162  :   1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Factors of     169  :   1, 13, 169
Factors of     175  :   1, 5, 7, 25, 35, 175
Factors of     180  :   1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Factors of     189  :   1, 3, 7, 9, 21, 27, 63, 189
Factors of     192  :   1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Factors of     196  :   1, 2, 4, 7, 14, 28, 49, 98, 196
Factors of     200  :   1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Factors of     210  :   1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Factors of     216  :   1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Factors of     225  :   1, 3, 5, 9, 15, 25, 45, 75, 225
Factors of     240  :   1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Factors of     245  :   1, 5, 7, 35, 49, 245
Factors of     250  :   1, 2, 5, 10, 25, 50, 125, 250
Factors of     256  :   1, 2, 4, 8, 16, 32, 64, 128, 256
Factors of     270  :   1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Factors of     288  :   1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Factors of     294  :   1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Factors of     300  :   1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Factors of     343  :   1, 7, 49, 343
Factors of     360  :   1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Factors of     375  :   1, 3, 5, 15, 25, 75, 125, 375
Factors of     400  :   1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Factors of     500  :   1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Factors of     625  :   1, 5, 25, 125, 625

# Factor Calculator

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