Factoring Common factors of 108012 and 108014

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Factors of 108012 and 108014

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

Factors are

Factors of 108012 =1, 2, 3, 4, 6, 12, 9001, 18002, 27003, 36004, 54006, 108012

Factors of 108014 =1, 2, 53, 106, 1019, 2038, 54007, 108014

Equivalent to

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The real common factors of 108012,108014 is 1, 2

Solution

Factors are numbers that can divide without remainder.

Factors of 108012

108012/1 = 108012         gives remainder 0 and so are divisible by 1
108012/2 = 54006         gives remainder 0 and so are divisible by 2
108012/3 = 36004         gives remainder 0 and so are divisible by 3
108012/4 = 27003         gives remainder 0 and so are divisible by 4
108012/6 = 18002         gives remainder 0 and so are divisible by 6
108012/12 = 9001         gives remainder 0 and so are divisible by 12
108012/9001 = 12         gives remainder 0 and so are divisible by 9001
108012/18002 = 6         gives remainder 0 and so are divisible by 18002
108012/27003 = 4         gives remainder 0 and so are divisible by 27003
108012/36004 = 3         gives remainder 0 and so are divisible by 36004
108012/54006 = 2         gives remainder 0 and so are divisible by 54006
108012/108012 = 1         gives remainder 0 and so are divisible by 108012

Factors of 108014

108014/1 = 108014         gives remainder 0 and so are divisible by 1
108014/2 = 54007         gives remainder 0 and so are divisible by 2
108014/53 = 2038         gives remainder 0 and so are divisible by 53
108014/106 = 1019         gives remainder 0 and so are divisible by 106
108014/1019 = 106         gives remainder 0 and so are divisible by 1019
108014/2038 = 53         gives remainder 0 and so are divisible by 2038
108014/54007 = 2         gives remainder 0 and so are divisible by 54007
108014/108014 = 1         gives remainder 0 and so are divisible by 108014

Converting to factors of 108012,108014

We get factors of 108012,108014 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 108012,108014 without remainders. So first number to consider is 1 and 108012,108014

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

108012  108013  108014  108015  108016  

108014  108015  108016  108017  108018  

108013  108014  108015  108016  108017  

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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