Factoring Common factors of 108006 and 108008

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Factors of 108006 and 108008

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

Factors are

Factors of 108006 =1, 2, 3, 6, 47, 94, 141, 282, 383, 766, 1149, 2298, 18001, 36002, 54003, 108006

Factors of 108008 =1, 2, 4, 8, 23, 46, 92, 184, 587, 1174, 2348, 4696, 13501, 27002, 54004, 108008

Equivalent to

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The real common factors of 108006,108008 is 1, 2

Solution

Factors are numbers that can divide without remainder.

Factors of 108006

108006/1 = 108006         gives remainder 0 and so are divisible by 1
108006/2 = 54003         gives remainder 0 and so are divisible by 2
108006/3 = 36002         gives remainder 0 and so are divisible by 3
108006/6 = 18001         gives remainder 0 and so are divisible by 6
108006/47 = 2298         gives remainder 0 and so are divisible by 47
108006/94 = 1149         gives remainder 0 and so are divisible by 94
108006/141 = 766         gives remainder 0 and so are divisible by 141
108006/282 = 383         gives remainder 0 and so are divisible by 282
108006/383 = 282         gives remainder 0 and so are divisible by 383
108006/766 = 141         gives remainder 0 and so are divisible by 766
108006/1149 = 94         gives remainder 0 and so are divisible by 1149
108006/2298 = 47         gives remainder 0 and so are divisible by 2298
108006/18001 = 6         gives remainder 0 and so are divisible by 18001
108006/36002 = 3         gives remainder 0 and so are divisible by 36002
108006/54003 = 2         gives remainder 0 and so are divisible by 54003
108006/108006 = 1         gives remainder 0 and so are divisible by 108006

Factors of 108008

108008/1 = 108008         gives remainder 0 and so are divisible by 1
108008/2 = 54004         gives remainder 0 and so are divisible by 2
108008/4 = 27002         gives remainder 0 and so are divisible by 4
108008/8 = 13501         gives remainder 0 and so are divisible by 8
108008/23 = 4696         gives remainder 0 and so are divisible by 23
108008/46 = 2348         gives remainder 0 and so are divisible by 46
108008/92 = 1174         gives remainder 0 and so are divisible by 92
108008/184 = 587         gives remainder 0 and so are divisible by 184
108008/587 = 184         gives remainder 0 and so are divisible by 587
108008/1174 = 92         gives remainder 0 and so are divisible by 1174
108008/2348 = 46         gives remainder 0 and so are divisible by 2348
108008/4696 = 23         gives remainder 0 and so are divisible by 4696
108008/13501 = 8         gives remainder 0 and so are divisible by 13501
108008/27002 = 4         gives remainder 0 and so are divisible by 27002
108008/54004 = 2         gives remainder 0 and so are divisible by 54004
108008/108008 = 1         gives remainder 0 and so are divisible by 108008

Converting to factors of 108006,108008

We get factors of 108006,108008 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 108006,108008 without remainders. So first number to consider is 1 and 108006,108008

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

108006  108007  108008  108009  108010  

108008  108009  108010  108011  108012  

108007  108008  108009  108010  108011  

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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