Factoring Common factors of 339,342 and 344

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Factors of 339,342 and 344

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

Factors are

Factors of 339 =1, 3, 113, 339

Factors of 342 =1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Factors of 344 =1, 2, 4, 8, 43, 86, 172, 344

Equivalent to

what goes into 344

what multiplies to 344

what makes 344

what numbers go into 344

numbers that multiply to 344

what can you multiply to get 344



The real common factors of 339,342,344 is 1

Solution

Factors are numbers that can divide without remainder.

Factors of 339

339/1 = 339         gives remainder 0 and so are divisible by 1
339/3 = 113         gives remainder 0 and so are divisible by 3
339/113 = 3         gives remainder 0 and so are divisible by 113
339/339 = 1         gives remainder 0 and so are divisible by 339

Factors of 342

342/1 = 342         gives remainder 0 and so are divisible by 1
342/2 = 171         gives remainder 0 and so are divisible by 2
342/3 = 114         gives remainder 0 and so are divisible by 3
342/6 = 57         gives remainder 0 and so are divisible by 6
342/9 = 38         gives remainder 0 and so are divisible by 9
342/18 = 19         gives remainder 0 and so are divisible by 18
342/19 = 18         gives remainder 0 and so are divisible by 19
342/38 = 9         gives remainder 0 and so are divisible by 38
342/57 = 6         gives remainder 0 and so are divisible by 57
342/114 = 3         gives remainder 0 and so are divisible by 114
342/171 = 2         gives remainder 0 and so are divisible by 171
342/342 = 1         gives remainder 0 and so are divisible by 342

Factors of 344

344/1 = 344         gives remainder 0 and so are divisible by 1
344/2 = 172         gives remainder 0 and so are divisible by 2
344/4 = 86         gives remainder 0 and so are divisible by 4
344/8 = 43         gives remainder 0 and so are divisible by 8
344/43 = 8         gives remainder 0 and so are divisible by 43
344/86 = 4         gives remainder 0 and so are divisible by 86
344/172 = 2         gives remainder 0 and so are divisible by 172
344/344 = 1         gives remainder 0 and so are divisible by 344

Converting to factors of 339,342,344

We get factors of 339,342,344 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 339,342,344 without remainders. So first number to consider is 1 and 339,342,344

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

339  340  341  342  343  

341  342  343  344  345  

340  341  342  343  344  

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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