With this aspect calculator, friend will identify the determinants of any positive herbal number. A factor is any type of number that divides evenly into an additional number.
You are watching: List all the factors of 33
Just enter any type of positive integer, and in the blink of an eye you'll discover all positive determinants of that number. If you room not sure what a element is, scroll down to find the factor definition, and also divisibility rules through a dedicated paragraph for no so well-known divisibility dominance of 7.
What is a factor?/Factor definition
A factor, additionally called a divisor, is any type of number the divides same into one more number. In other words, determinants are the numbers we can multiply with each other to get a particular product:
Definition of the aspect differs: some definitions case that variable can be an unfavorable as well together positive, but in other cases, the term is limited to positive factors only.For example, the determinants of 8 are 1, 2, 4 and also 8. But, from the various other hand, if you multiply -2 times -4, you'll additionally obtain 8, therefore -2 and also -4 are determinants of 8 according to the very first definition.
Technically, you can have an adverse factors, return it's no so renowned to use them. For valuable purposes, our variable calculator provides only optimistic factors. If friend need an adverse ones for some reason, just include the minus in prior of every acquired value:
Factors that 8 are: 1, 2, 4, 8
plus -1, -2, -4, -8 as well.
Divisibility rules
There are countless rules that divisibility that greatly assist one in finding determinants by hand. The most often used persons are:
2: any even number is divisible by 2.
3: A number is divisible through 3 if the amount of the number in the number is divisible by 3.
4: A number is divisible by 4 if the last two digits type a number that is divisible by 4.
5: any 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 3 digits kind a number the is divisible by 8, then the whole number is divisible by 8.
9: If the amount of the digits is divisible by 9, the entire number is divisible by 9.
10: any type of number finishing in 0 is divisible through 10.
There room many elements of mathematics where it's vital to have the ability to find the factors. The element calculator is helpful in detect the greatest common factor, least typical multiple and prime factorization.
Divisibility rule of 7
Want to inspect if 7 is a element of ours number? There space two simple methods for trial and error that. Let's present it ~ above the example of a number 13468.
Method 1Take 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 between the number from staying digits and also doubled critical digit. I m sorry means, we need to subtract 16 from 1346. 1346 - 16 = 1330.Continue to execute this procedure until a number known to it is in divisible by 7 (or not) is obtained. Us don't recognize straight far if 1330 is divisible by 7, so we repeat the steps all over again:0
0
133
133 - 0 = 133
Is 133 divisible by 7? no sure, so repeat the procedure once more:
3
6
13
13 - 6 = 7
Great! We acquired the number divisible through 7, so it way that our original number 13468 is additionally divisible through 7.
Method 2
Take the number of the number in turning back order. So for our initial number 13468, we have 8 6 4 3 1.2. Multiply lock successively through the digits 1, 3, 2, 6, 4, 5. Repeat or shorten this sequence to the vital length. So in our case, we get:
*8* * 1, *6* * 3, *4* * 2, *3* * 6 and also *1* * 4.Add the acquired products. If the an outcome is divisible through 7, climate the initial number is together 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 locations of interest
Prime factorization is an extension of administer in which all the components are element numbers. Because that example, expect we desire the element factorization of 48. The components of 48 room 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. An alert those room not every prime numbers, therefore we have to break it down further. Once completing the process, we acquire 2 * 2 * 2 * 2 * 3. Return 1 is a factor, numerous mathematicians now do not consider 1 to be a prime number. The element factorization calculator is a handy tool to obtain these factors.
Another area of attention is calculating the greatest typical factor (GCF) that a collection of numbers. To execute so, we acquire the element factorization of all the numbers. Then multiply every the factors that are the same in each set. Because that example, expect we desire the GCF the 24, 44 and also 68. The element factorizations space 24 = 2 * 2 * 2 * 3, 44 = 2 * 2 * 11 and 68 = 2 * 2 * 17. An alert the only number existing in every sets of determinants is 2, which appears in typical twice, so the GCF is 2 * 2 = 4. The GCF calculator will carry out this an outcome simply and quickly.
Closely concerned the GCF is the least common multiple, abbreviated as LCM. The procedure is together follows: we obtain the prime factorizations and also multiply the greatest power of all factors present. In the example above, the LCM would certainly be 2 * 2 * 2 * 3 * 11 * 17 = 4488. The usage of the least common multiple calculator will certainly make a sometimes tedious process much easier.
See more: Oxidation Number Of S In Magnesium Sulfate, Oxidation States (Oxidation Numbers)
What are the components of...
You can use the variable calculator to obtain the list of determinants below:
Factors of 1: 1
Factors that 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 that 7: 1, 7
Factors of 8: 1, 2, 4, 8
Factors that 9: 1, 3, 9
Factors the 10: 1, 2, 5, 10
Factors the 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 the 15: 1, 3, 5, 15
Factors that 16: 1, 2, 4, 8, 16
Factors the 17: 1, 17
Factors the 18: 1, 2, 3, 6, 9, 18
Factors the 19: 1, 19
Factors that 20: 1, 2, 4, 5, 10, 20
Factors that 21: 1, 3, 7, 21
Factors that 22: 1, 2, 11, 22
Factors that 23: 1, 23
Factors that 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 25: 1, 5, 25
Factors the 26: 1, 2, 13, 26
Factors of 27: 1, 3, 9, 27
Factors of 28: 1, 2, 4, 7, 14, 28
Factors that 29: 1, 29
Factors the 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors the 31: 1, 31
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 33: 1, 3, 11, 33
Factors the 34: 1, 2, 17, 34
Factors the 35: 1, 5, 7, 35
Factors that 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 37: 1, 37
Factors that 38: 1, 2, 19, 38
Factors of 39: 1, 3, 13, 39
Factors of 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 the 43: 1, 43
Factors that 44: 1, 2, 4, 11, 22, 44
Factors that 45: 1, 3, 5, 9, 15, 45
Factors of 46: 1, 2, 23, 46
Factors that 47: 1, 47
Factors the 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 the 51: 1, 3, 17, 51
Factors that 52: 1, 2, 4, 13, 26, 52
Factors that 53: 1, 53
Factors that 54: 1, 2, 3, 6, 9, 18, 27, 54
Factors the 55: 1, 5, 11, 55
Factors the 56: 1, 2, 4, 7, 8, 14, 28, 56
Factors of 57: 1, 3, 19, 57
Factors that 58: 1, 2, 29, 58
Factors that 59: 1, 59
Factors the 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors the 61: 1, 61
Factors of 62: 1, 2, 31, 62
Factors the 63: 1, 3, 7, 9, 21, 63
Factors the 64: 1, 2, 4, 8, 16, 32, 64
Factors that 65: 1, 5, 13, 65
Factors that 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 the 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors that 73: 1, 73
Factors of 74: 1, 2, 37, 74
Factors that 75: 1, 3, 5, 15, 25, 75
Factors the 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 the 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 that 83: 1, 83
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Factors that 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 the 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Factors the 91: 1, 7, 13, 91
Factors of 92: 1, 2, 4, 23, 46, 92
Factors that 93: 1, 3, 31, 93
Factors of 94: 1, 2, 47, 94
Factors of 95: 1, 5, 19, 95
Factors that 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Factors the 97: 1, 97
Factors the 98: 1, 2, 7, 14, 49, 98
Factors of 99: 1, 3, 9, 11, 33, 99
Factors that 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
Factors of 104: 1, 2, 4, 8, 13, 26, 52, 104
Factors the 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 that 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 that 121: 1, 11, 121
Factors of 125: 1, 5, 25, 125
Factors the 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 that 132: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Factors that 135: 1, 3, 5, 9, 15, 27, 45, 135
Factors the 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 the 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 that 175: 1, 5, 7, 25, 35, 175
Factors the 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 that 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 that 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 of 240: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Factors the 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 of 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 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 the 343: 1, 7, 49, 343
Factors the 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