With this element calculator, girlfriend will recognize the components of any positive natural number. A element is any type of number that divides same into one more number.

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Just enter any kind of positive integer, and also in the blink of one eye you'll uncover all positive determinants of that number. If you are not certain what a element is, scroll down to find the aspect definition, as well as divisibility rules through a committed paragraph for not so famous divisibility ascendancy of 7.


What is a factor?/Factor definition

A factor, additionally called a divisor, is any kind of number the divides same into an additional number. In various other words, determinants are the numbers we have the right to multiply together to obtain a particular product:

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You deserve to also notification that separating the product by its factor leaves no remainder.

Definition that the element differs: some definitions insurance claim that aspect can be negative as well together positive, but in other cases, the ax is limited to positive factors only.For example, the components of 8 are 1, 2, 4 and also 8. But, indigenous the various other hand, if you multiply -2 times -4, you'll additionally obtain 8, therefore -2 and -4 are determinants of 8 follow to the first definition.

Technically, you deserve to have an adverse factors, return it's not so renowned to usage them. For handy purposes, our element calculator offers only confident factors. If you need negative ones for some reason, just add the minus in former of every derived value:

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

plus -1, -2, -4, -8 together well.


Divisibility rules

There are many rules of divisibility that greatly assist one in finding factors by hand. The most frequently used persons are:

2: any kind of even number is divisible by 2.

3: A number is divisible by 3 if the sum of the digits in the number is divisible by 3.

4: A number is divisible by 4 if the last 2 digits form a number the is divisible through 4.

5: any type of number ending in 5 or 0 is divisible through 5.

6: A number is divisible through 6 if the is divisible through 2 and 3.

8: If the last three digits type a number that is divisible by 8, climate the entire number is divisible by 8.

9: If the sum of the number is divisible through 9, the whole number is divisible through 9.

10: any type of number finishing in 0 is divisible through 10.

There space many aspects of math where it's important to be able to find the factors. The variable calculator is advantageous in finding the greatest usual factor, least common multiple and also prime factorization.


Divisibility ascendancy of 7

Want to inspect if 7 is a variable of our number? There space two straightforward methods for testing that. Let's present it on the example of a number 13468.

Method 1Take the critical digit. It's 8 in ours case.Double the critical digit. 2 * 8 = 16.Take the staying digits (truncated number). For us - 1346.Find the difference in between the number from staying digits and also doubled critical digit. I beg your pardon means, we should subtract 16 from 1346. 1346 - 16 = 1330.Continue to execute this procedure till a number recognized to it is in divisible by 7 (or not) is obtained. We don't know straight away if 1330 is divisible through 7, so us repeat the steps everywhere again:

0

0

133

133 - 0 = 133

Is 133 divisible through 7? not sure, so repeat the procedure once more:

3

6

13

13 - 6 = 7

Great! We acquired the number divisible by 7, therefore it way that our initial number 13468 is additionally divisible by 7.

Method 2

Take the number of the number in turning back order. So for our initial number 13468, we have actually 8 6 4 3 1.2. Multiply lock successively by the digits 1, 3, 2, 6, 4, 5. Repeat or shorten this succession to the essential length. So in ours case, us get:

*8* * 1, *6* * 3, *4* * 2, *3* * 6 and also *1* * 4.Add the acquired products. If the an outcome is divisible by 7, climate the initial number is as well. So:

(8 * 1) + (6 * 3) + (4 * 2) + (3 * 6) + (1 * 4) = 8 + 18 + 8 + 18 + 4 = 56, which is a number divisible by 7.


Other related areas of interest

Prime factorization is an extension of administer in which all the components are prime numbers. Because that example, expect we want the element factorization that 48. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Notification those are not every prime numbers, so we have to break it down further. As soon as completing the process, we acquire 2 * 2 * 2 * 2 * 3. Although 1 is a factor, plenty of mathematicians now do not take into consideration 1 to be a element number. The element factorization calculator is a handy tool to attain these factors.

Another area of attention is calculating the greatest typical factor (GCF) that a set of numbers. To perform so, we get the element factorization of all the numbers. Then multiply all the determinants that space the same in each set. For example, suppose we want the GCF of 24, 44 and also 68. The element factorizations are 24 = 2 * 2 * 2 * 3, 44 = 2 * 2 * 11 and also 68 = 2 * 2 * 17. Notice the just number present in every sets of determinants is 2, which appears in typical twice, therefore the GCF is 2 * 2 = 4. The GCF calculator will administer this result simply and also quickly.

Closely related to the GCF is the least common multiple, abbreviated as LCM. The process is as follows: we acquire the prime factorizations and multiply the highest possible power of all factors present. In the example above, the LCM would be 2 * 2 * 2 * 3 * 11 * 17 = 4488. The usage of the least usual multiple calculator will certainly make a sometimes tedious procedure much easier.

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What room the factors of...

You deserve to use the variable calculator to acquire the perform of factors below:

Factors that 1: 1

Factors the 2: 1, 2

Factors the 3: 1, 3

Factors of 4: 1, 2, 4

Factors of 5: 1, 5

Factors the 6: 1, 2, 3, 6

Factors the 7: 1, 7

Factors the 8: 1, 2, 4, 8

Factors of 9: 1, 3, 9

Factors that 10: 1, 2, 5, 10

Factors that 11: 1, 11

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

Factors that 13: 1, 13

Factors the 14: 1, 2, 7, 14

Factors of 15: 1, 3, 5, 15

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

Factors of 17: 1, 17

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

Factors of 19: 1, 19

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

Factors that 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 the 25: 1, 5, 25

Factors the 26: 1, 2, 13, 26

Factors the 27: 1, 3, 9, 27

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

Factors the 29: 1, 29

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

Factors the 31: 1, 31

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

Factors that 33: 1, 3, 11, 33

Factors of 34: 1, 2, 17, 34

Factors that 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 the 39: 1, 3, 13, 39

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

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

Factors that 46: 1, 2, 23, 46

Factors that 47: 1, 47

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

Factors that 49: 1, 7, 49

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

Factors that 51: 1, 3, 17, 51

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

Factors that 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 the 58: 1, 2, 29, 58

Factors that 59: 1, 59

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

Factors the 61: 1, 61

Factors that 62: 1, 2, 31, 62

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

Factors that 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 the 67: 1, 67

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

Factors the 69: 1, 3, 23, 69

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

Factors that 71: 1, 71

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

Factors the 73: 1, 73

Factors the 74: 1, 2, 37, 74

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

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

Factors that 77: 1, 7, 11, 77

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

Factors that 79: 1, 79

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

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

Factors the 82: 1, 2, 41, 82

Factors of 83: 1, 83

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

Factors that 85: 1, 5, 17, 85

Factors of 86: 1, 2, 43, 86

Factors of 87: 1, 3, 29, 87

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

Factors of 89: 1, 89

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

Factors of 91: 1, 7, 13, 91

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

Factors that 93: 1, 3, 31, 93

Factors of 94: 1, 2, 47, 94

Factors that 95: 1, 5, 19, 95

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

Factors that 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 the 110: 1, 2, 5, 10, 11, 22, 55, 110

Factors the 112: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Factors that 117: 1, 3, 9, 13, 39, 117

Factors the 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Factors the 121: 1, 11, 121

Factors that 125: 1, 5, 25, 125

Factors that 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Factors that 130: 1, 2, 5, 10, 13, 26, 65, 130

Factors the 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 that 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 that 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Factors the 162: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Factors that 169: 1, 13, 169

Factors the 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 that 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 the 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 the 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Factors the 216: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Factors that 225: 1, 3, 5, 9, 15, 25, 45, 75, 225

Factors the 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 the 250: 1, 2, 5, 10, 25, 50, 125, 250

Factors of 256: 1, 2, 4, 8, 16, 32, 64, 128, 256

Factors that 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 that 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