Factoring Common factors of 108102 and 108104

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Factors of 108102 and 108104

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

Factors are

Factors of 108102 =1, 2, 3, 6, 43, 86, 129, 258, 419, 838, 1257, 2514, 18017, 36034, 54051, 108102

Factors of 108104 =1, 2, 4, 8, 13513, 27026, 54052, 108104

Equivalent to

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The real common factors of 108102,108104 is 1, 2

Solution

Factors are numbers that can divide without remainder.

Factors of 108102

108102/1 = 108102         gives remainder 0 and so are divisible by 1
108102/2 = 54051         gives remainder 0 and so are divisible by 2
108102/3 = 36034         gives remainder 0 and so are divisible by 3
108102/6 = 18017         gives remainder 0 and so are divisible by 6
108102/43 = 2514         gives remainder 0 and so are divisible by 43
108102/86 = 1257         gives remainder 0 and so are divisible by 86
108102/129 = 838         gives remainder 0 and so are divisible by 129
108102/258 = 419         gives remainder 0 and so are divisible by 258
108102/419 = 258         gives remainder 0 and so are divisible by 419
108102/838 = 129         gives remainder 0 and so are divisible by 838
108102/1257 = 86         gives remainder 0 and so are divisible by 1257
108102/2514 = 43         gives remainder 0 and so are divisible by 2514
108102/18017 = 6         gives remainder 0 and so are divisible by 18017
108102/36034 = 3         gives remainder 0 and so are divisible by 36034
108102/54051 = 2         gives remainder 0 and so are divisible by 54051
108102/108102 = 1         gives remainder 0 and so are divisible by 108102

Factors of 108104

108104/1 = 108104         gives remainder 0 and so are divisible by 1
108104/2 = 54052         gives remainder 0 and so are divisible by 2
108104/4 = 27026         gives remainder 0 and so are divisible by 4
108104/8 = 13513         gives remainder 0 and so are divisible by 8
108104/13513 = 8         gives remainder 0 and so are divisible by 13513
108104/27026 = 4         gives remainder 0 and so are divisible by 27026
108104/54052 = 2         gives remainder 0 and so are divisible by 54052
108104/108104 = 1         gives remainder 0 and so are divisible by 108104

Converting to factors of 108102,108104

We get factors of 108102,108104 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 108102,108104 without remainders. So first number to consider is 1 and 108102,108104

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

108102  108103  108104  108105  108106  

108104  108105  108106  108107  108108  

108103  108104  108105  108106  108107  

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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