With this variable calculator, you will identify the factors of any positive natural number. A factor is any kind of number that divides same into one more number.

You are watching: How many factors does 37 have

Just enter any positive integer, and also in the blink of one eye you'll uncover all positive components of that number. If you space not sure what a variable is, scroll under to discover the factor definition, and also divisibility rules v a specialized paragraph for no so well-known divisibility dominance of 7.

## What is a factor?/Factor definition

A **factor**, additionally called a **divisor**, is any number the divides same into another number. In other words, determinants are the number we can multiply with each other to obtain a specific product:

Definition the the element differs: some definitions claim that variable can be an adverse as well as positive, however in other cases, the ax is restricted to positive components only.For example, the components of 8 are 1, 2, 4 and 8. But, native the various other hand, if you main point -2 times -4, you'll additionally obtain 8, therefore -2 and -4 are components of 8 follow to the first definition.

Technically, you deserve to have an unfavorable factors, although it's no so well-known to use them. For useful purposes, our factor calculator gives only confident factors. If girlfriend need negative ones for part reason, just include the minus in front of every obtained value:

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

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

## Divisibility rules

There are many rules of divisibility that substantially assist one in finding determinants by hand. The most often used people are:

**2**: any even number is divisible by 2.

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

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

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

**6**: A number is divisible by 6 if it is divisible through 2 and 3.

**8**: If the last three digits form a number that is divisible through 8, then the entire number is divisible through 8.

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

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

There are many aspects of math where it's crucial to be able to find the factors. The factor calculator is valuable in detect the greatest typical factor, least typical multiple and also prime factorization.

## Divisibility dominance of 7

Want to examine if 7 is a aspect of ours number? There room two straightforward methods for trial and error that. Let's display it ~ above the example of a number **13468**.

*Method 1*

**Take the critical digit**. It's 8 in our case.

**Double the critical digit**. 2 * 8 = 16.

**Take the remaining digits**(truncated number). For us - 1346.

**Find the difference in between the number from staying digits and also doubled critical digit**. I m sorry means, we need to subtract 16 native 1346. 1346 - 16 = 1330.

**Continue to do this procedure till a number known to be divisible by 7 (or not) is obtained**. Us don't know straight away if 1330 is divisible through 7, so we repeat the steps anywhere again:

0

0

133

133 - 0 = 133

Is 133 divisible by 7? not sure, so repeat the procedure as soon as more:

3

6

13

13 - 6 = 7

Great! We acquired the number divisible by 7, so it method that our original number 13468 is also divisible by 7.

*Method 2*

**Take the number of the number in turning back order**. So because that our initial number 13468, we have *8 6 4 3 1*.2. **Multiply lock successively by the digits 1, 3, 2, 6, 4, 5**. Repeat or shorten this sequence to the vital length. So in ours case, us get:

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

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

## Other related locations of interest

**Prime factorization** is an extension of factorization in which all the factors are element numbers. Because that example, intend we desire the element factorization that 48. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. An alert those space not all prime numbers, therefore we have to break it under further. When completing the process, we obtain 2 * 2 * 2 * 2 * 3. Although 1 is a factor, numerous mathematicians now do not think about 1 to it is in a element number. The prime factorization calculator is a handy device to attain these factors.

Another area of interest is calculating the **greatest common factor** (GCF) the a set of numbers. To perform so, we obtain the prime factorization of all the numbers. Then multiply all the factors that space the exact same in each set. For example, suppose we desire the GCF that 24, 44 and also 68. The prime factorizations room 24 = 2 * 2 * 2 * 3, 44 = 2 * 2 * 11 and also 68 = 2 * 2 * 17. Notification the just number existing in all sets of determinants is 2, which shows up in usual twice, for this reason the GCF is 2 * 2 = 4. The GCF calculator will carry out this an outcome simply and also quickly.

Closely pertained to the GCF is the **least usual multiple**, abbreviated as LCM. The procedure is together follows: we acquire the element factorizations and also multiply the highest possible power the all components present. In the instance above, the LCM would certainly be 2 * 2 * 2 * 3 * 11 * 17 = 4488. The usage of the least typical multiple calculator will certainly make a periodically tedious procedure much easier.

See more: Chapter 8 Lord Of The Flies Questions, Lord Of The Flies Chapter 8 Quiz

## What are the components of...

You can use the element calculator to attain the list of components below:

Factors the 1: 1

Factors of 2: 1, 2

Factors of 3: 1, 3

Factors of 4: 1, 2, 4

Factors of 5: 1, 5

Factors that 6: 1, 2, 3, 6

Factors that 7: 1, 7

Factors that 8: 1, 2, 4, 8

Factors the 9: 1, 3, 9

Factors the 10: 1, 2, 5, 10

Factors the 11: 1, 11

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

Factors the 13: 1, 13

Factors the 14: 1, 2, 7, 14

Factors the 15: 1, 3, 5, 15

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

Factors the 17: 1, 17

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

Factors that 19: 1, 19

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

Factors of 21: 1, 3, 7, 21

Factors that 22: 1, 2, 11, 22

Factors that 23: 1, 23

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

Factors the 29: 1, 29

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

Factors the 31: 1, 31

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

Factors that 33: 1, 3, 11, 33

Factors of 34: 1, 2, 17, 34

Factors of 35: 1, 5, 7, 35

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

Factors that 37: 1, 37

Factors that 38: 1, 2, 19, 38

Factors of 39: 1, 3, 13, 39

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

Factors the 41: 1, 41

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

Factors of 43: 1, 43

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

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

Factors of 46: 1, 2, 23, 46

Factors the 47: 1, 47

Factors the 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 the 51: 1, 3, 17, 51

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

Factors of 53: 1, 53

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

Factors the 55: 1, 5, 11, 55

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

Factors that 57: 1, 3, 19, 57

Factors of 58: 1, 2, 29, 58

Factors that 59: 1, 59

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

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

Factors that 65: 1, 5, 13, 65

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

Factors that 67: 1, 67

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

Factors of 69: 1, 3, 23, 69

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

Factors the 71: 1, 71

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

Factors that 73: 1, 73

Factors that 74: 1, 2, 37, 74

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

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

Factors the 77: 1, 7, 11, 77

Factors the 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 that 82: 1, 2, 41, 82

Factors the 83: 1, 83

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

Factors of 85: 1, 5, 17, 85

Factors the 86: 1, 2, 43, 86

Factors of 87: 1, 3, 29, 87

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

Factors of 89: 1, 89

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

Factors the 91: 1, 7, 13, 91

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

Factors of 93: 1, 3, 31, 93

Factors that 94: 1, 2, 47, 94

Factors that 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 the 98: 1, 2, 7, 14, 49, 98

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

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

Factors the 104: 1, 2, 4, 8, 13, 26, 52, 104

Factors of 105: 1, 3, 5, 7, 15, 21, 35, 105

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

Factors the 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 the 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 that 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 the 147: 1, 3, 7, 21, 49, 147

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

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

Factors of 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 the 189: 1, 3, 7, 9, 21, 27, 63, 189

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

Factors the 270: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Factors that 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 the 343: 1, 7, 49, 343

Factors that 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