Factoring Common factors of 108018,108021 and 108023

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Factors of 108018,108021 and 108023

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

Factors are

Factors of 108018 =1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306, 353, 706, 1059, 2118, 3177, 6001, 6354, 12002, 18003, 36006, 54009, 108018

Factors of 108021 =1, 3, 36007, 108021

Factors of 108023 =1, 108023

Equivalent to

what goes into 108023

what multiplies to 108023

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The real common factors of 108018,108021,108023 is 1

Solution

Factors are numbers that can divide without remainder.

Factors of 108018

108018/1 = 108018         gives remainder 0 and so are divisible by 1
108018/2 = 54009         gives remainder 0 and so are divisible by 2
108018/3 = 36006         gives remainder 0 and so are divisible by 3
108018/6 = 18003         gives remainder 0 and so are divisible by 6
108018/9 = 12002         gives remainder 0 and so are divisible by 9
108018/17 = 6354         gives remainder 0 and so are divisible by 17
108018/18 = 6001         gives remainder 0 and so are divisible by 18
108018/34 = 3177         gives remainder 0 and so are divisible by 34
108018/51 = 2118         gives remainder 0 and so are divisible by 51
108018/102 = 1059         gives remainder 0 and so are divisible by 102
108018/153 = 706         gives remainder 0 and so are divisible by 153
108018/306 = 353         gives remainder 0 and so are divisible by 306
108018/353 = 306         gives remainder 0 and so are divisible by 353
108018/706 = 153         gives remainder 0 and so are divisible by 706
108018/1059 = 102         gives remainder 0 and so are divisible by 1059
108018/2118 = 51         gives remainder 0 and so are divisible by 2118
108018/3177 = 34         gives remainder 0 and so are divisible by 3177
108018/6001 = 18         gives remainder 0 and so are divisible by 6001
108018/6354 = 17         gives remainder 0 and so are divisible by 6354
108018/12002 = 9         gives remainder 0 and so are divisible by 12002
108018/18003 = 6         gives remainder 0 and so are divisible by 18003
108018/36006 = 3         gives remainder 0 and so are divisible by 36006
108018/54009 = 2         gives remainder 0 and so are divisible by 54009
108018/108018 = 1         gives remainder 0 and so are divisible by 108018

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

Factors of 108023

108023/1 = 108023         gives remainder 0 and so are divisible by 1
108023/108023 = 1         gives remainder 0 and so are divisible by 108023

Converting to factors of 108018,108021,108023

We get factors of 108018,108021,108023 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 108018,108021,108023 without remainders. So first number to consider is 1 and 108018,108021,108023

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

108018  108019  108020  108021  108022  

108020  108021  108022  108023  108024  

108019  108020  108021  108022  108023  

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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