Factoring Common factors of 108016,108019 and 108021

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Factors of 108016,108019 and 108021

Use the form below to do your conversion, separate numbers by comma.

Factors are

Factors of 108016 =1, 2, 4, 8, 16, 43, 86, 157, 172, 314, 344, 628, 688, 1256, 2512, 6751, 13502, 27004, 54008, 108016

Factors of 108019 =1, 109, 991, 108019

Factors of 108021 =1, 3, 36007, 108021

Equivalent to

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The real common factors of 108016,108019,108021 is 1

Solution

Factors are numbers that can divide without remainder.

Factors of 108016

108016/1 = 108016         gives remainder 0 and so are divisible by 1
108016/2 = 54008         gives remainder 0 and so are divisible by 2
108016/4 = 27004         gives remainder 0 and so are divisible by 4
108016/8 = 13502         gives remainder 0 and so are divisible by 8
108016/16 = 6751         gives remainder 0 and so are divisible by 16
108016/43 = 2512         gives remainder 0 and so are divisible by 43
108016/86 = 1256         gives remainder 0 and so are divisible by 86
108016/157 = 688         gives remainder 0 and so are divisible by 157
108016/172 = 628         gives remainder 0 and so are divisible by 172
108016/314 = 344         gives remainder 0 and so are divisible by 314
108016/344 = 314         gives remainder 0 and so are divisible by 344
108016/628 = 172         gives remainder 0 and so are divisible by 628
108016/688 = 157         gives remainder 0 and so are divisible by 688
108016/1256 = 86         gives remainder 0 and so are divisible by 1256
108016/2512 = 43         gives remainder 0 and so are divisible by 2512
108016/6751 = 16         gives remainder 0 and so are divisible by 6751
108016/13502 = 8         gives remainder 0 and so are divisible by 13502
108016/27004 = 4         gives remainder 0 and so are divisible by 27004
108016/54008 = 2         gives remainder 0 and so are divisible by 54008
108016/108016 = 1         gives remainder 0 and so are divisible by 108016

Factors of 108019

108019/1 = 108019         gives remainder 0 and so are divisible by 1
108019/109 = 991         gives remainder 0 and so are divisible by 109
108019/991 = 109         gives remainder 0 and so are divisible by 991
108019/108019 = 1         gives remainder 0 and so are divisible by 108019

Factors of 108021

108021/1 = 108021         gives remainder 0 and so are divisible by 1
108021/3 = 36007         gives remainder 0 and so are divisible by 3
108021/36007 = 3         gives remainder 0 and so are divisible by 36007
108021/108021 = 1         gives remainder 0 and so are divisible by 108021

Converting to factors of 108016,108019,108021

We get factors of 108016,108019,108021 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 108016,108019,108021 without remainders. So first number to consider is 1 and 108016,108019,108021

Getting factors is done by diving the number with numbers lower to it in value to find the one that will not leave remainder. Numbers that divide without remainders are the factors.

Instructions:

  1. Type the number you want to convert
    Separate more than 1 number with comma.
  2. Click on convert to factor

Other number conversions to consider

108016  108017  108018  108019  108020  

108018  108019  108020  108021  108022  

108017  108018  108019  108020  108021  

Factors are the numbers you multiply to get another number. For instance, the factors of 25 are 5 and 5, because 5×5 = 25. Some numbers have more than one factorization (more than one way of being factored). For instance, 12 can be factored as 1×12, 2×6, or 3×4. A number that can only be factored as 1 times itself is called "prime". The first few primes are 2, 3, 5, 7, 11, and 13. The number 1 is not regarded as a prime, and is usually not included in factorizations, because 1 goes into everything. (The number 1 is a bit boring in this context, so it gets ignored.

By the way, there are some divisibility rules that can help you find the numbers to divide by. There are many divisibility rules, but the simplest to use are these: If the number is even, then it's divisible by 2. If the number's digits sum to a number that's divisible by 3, then the number itself is divisible by 3. If the number ends with a 0 or a 5, then it's divisible by 5.

Of course, if the number is divisible twice by 2, then it's divisible by 4; if it's divisible by 2 and by 3, then it's divisible by 6; and if it's divisible twice by 3 (or if the sum of the digits is divisible by 9), then it's divisible by 9. But since you're finding the factorization, you don't really care about these non-prime divisibility rules. There is a rule for divisibility by 7, but it's complicated enough that it's probably easier to just do the division on your calculator and see if it comes out even.

If you run out of small numbers and you are not done factoring, then keep trying bigger and bigger whole numbers (9, 14, 17, 20, 23, etc) until you find number that can divide without remainder. For example, 13 is a factor of 52 because 13 divides exactly into 52 (52 ÷ 13 = 4 leaving no remainder). The complete list of factors of 52 is: 1, 2, 4, 13, 26, and 52 (all these divide exactly into 52). If your number doesn't divide in, then the only potential divisors are bigger numbers. Since the square of your number is bigger than the number.









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