Factoring Common factors of 108004,108007 and 108009

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Factors of 108004,108007 and 108009

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

Factors are

Factors of 108004 =1, 2, 4, 13, 26, 31, 52, 62, 67, 124, 134, 268, 403, 806, 871, 1612, 1742, 2077, 3484, 4154, 8308, 27001, 54002, 108004

Factors of 108007 =1, 108007

Factors of 108009 =1, 3, 9, 11, 33, 99, 1091, 3273, 9819, 12001, 36003, 108009

Equivalent to

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The real common factors of 108004,108007,108009 is 1

Solution

Factors are numbers that can divide without remainder.

Factors of 108004

108004/1 = 108004         gives remainder 0 and so are divisible by 1
108004/2 = 54002         gives remainder 0 and so are divisible by 2
108004/4 = 27001         gives remainder 0 and so are divisible by 4
108004/13 = 8308         gives remainder 0 and so are divisible by 13
108004/26 = 4154         gives remainder 0 and so are divisible by 26
108004/31 = 3484         gives remainder 0 and so are divisible by 31
108004/52 = 2077         gives remainder 0 and so are divisible by 52
108004/62 = 1742         gives remainder 0 and so are divisible by 62
108004/67 = 1612         gives remainder 0 and so are divisible by 67
108004/124 = 871         gives remainder 0 and so are divisible by 124
108004/134 = 806         gives remainder 0 and so are divisible by 134
108004/268 = 403         gives remainder 0 and so are divisible by 268
108004/403 = 268         gives remainder 0 and so are divisible by 403
108004/806 = 134         gives remainder 0 and so are divisible by 806
108004/871 = 124         gives remainder 0 and so are divisible by 871
108004/1612 = 67         gives remainder 0 and so are divisible by 1612
108004/1742 = 62         gives remainder 0 and so are divisible by 1742
108004/2077 = 52         gives remainder 0 and so are divisible by 2077
108004/3484 = 31         gives remainder 0 and so are divisible by 3484
108004/4154 = 26         gives remainder 0 and so are divisible by 4154
108004/8308 = 13         gives remainder 0 and so are divisible by 8308
108004/27001 = 4         gives remainder 0 and so are divisible by 27001
108004/54002 = 2         gives remainder 0 and so are divisible by 54002
108004/108004 = 1         gives remainder 0 and so are divisible by 108004

Factors of 108007

108007/1 = 108007         gives remainder 0 and so are divisible by 1
108007/108007 = 1         gives remainder 0 and so are divisible by 108007

Factors of 108009

108009/1 = 108009         gives remainder 0 and so are divisible by 1
108009/3 = 36003         gives remainder 0 and so are divisible by 3
108009/9 = 12001         gives remainder 0 and so are divisible by 9
108009/11 = 9819         gives remainder 0 and so are divisible by 11
108009/33 = 3273         gives remainder 0 and so are divisible by 33
108009/99 = 1091         gives remainder 0 and so are divisible by 99
108009/1091 = 99         gives remainder 0 and so are divisible by 1091
108009/3273 = 33         gives remainder 0 and so are divisible by 3273
108009/9819 = 11         gives remainder 0 and so are divisible by 9819
108009/12001 = 9         gives remainder 0 and so are divisible by 12001
108009/36003 = 3         gives remainder 0 and so are divisible by 36003
108009/108009 = 1         gives remainder 0 and so are divisible by 108009

Converting to factors of 108004,108007,108009

We get factors of 108004,108007,108009 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 108004,108007,108009 without remainders. So first number to consider is 1 and 108004,108007,108009

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

108004  108005  108006  108007  108008  

108006  108007  108008  108009  108010  

108005  108006  108007  108008  108009  

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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