Factoring Common factors of 322,325 and 327

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Factors of 322,325 and 327

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

Factors are

Factors of 322 =1, 2, 7, 14, 23, 46, 161, 322

Factors of 325 =1, 5, 13, 25, 65, 325

Factors of 327 =1, 3, 109, 327

Equivalent to

what goes into 327

what multiplies to 327

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The real common factors of 322,325,327 is 1

Solution

Factors are numbers that can divide without remainder.

Factors of 322

322/1 = 322         gives remainder 0 and so are divisible by 1
322/2 = 161         gives remainder 0 and so are divisible by 2
322/7 = 46         gives remainder 0 and so are divisible by 7
322/14 = 23         gives remainder 0 and so are divisible by 14
322/23 = 14         gives remainder 0 and so are divisible by 23
322/46 = 7         gives remainder 0 and so are divisible by 46
322/161 = 2         gives remainder 0 and so are divisible by 161
322/322 = 1         gives remainder 0 and so are divisible by 322

Factors of 325

325/1 = 325         gives remainder 0 and so are divisible by 1
325/5 = 65         gives remainder 0 and so are divisible by 5
325/13 = 25         gives remainder 0 and so are divisible by 13
325/25 = 13         gives remainder 0 and so are divisible by 25
325/65 = 5         gives remainder 0 and so are divisible by 65
325/325 = 1         gives remainder 0 and so are divisible by 325

Factors of 327

327/1 = 327         gives remainder 0 and so are divisible by 1
327/3 = 109         gives remainder 0 and so are divisible by 3
327/109 = 3         gives remainder 0 and so are divisible by 109
327/327 = 1         gives remainder 0 and so are divisible by 327

Converting to factors of 322,325,327

We get factors of 322,325,327 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 322,325,327 without remainders. So first number to consider is 1 and 322,325,327

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

322  323  324  325  326  

324  325  326  327  328  

323  324  325  326  327  

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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