Factoring Common factors of 342,345 and 347

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Factors of 342,345 and 347

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

Factors are

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

Factors of 345 =1, 3, 5, 15, 23, 69, 115, 345

Factors of 347 =1, 347

Equivalent to

what goes into 347

what multiplies to 347

what makes 347

what numbers go into 347

numbers that multiply to 347

what can you multiply to get 347



The real common factors of 342,345,347 is 1

Solution

Factors are numbers that can divide without remainder.

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 345

345/1 = 345         gives remainder 0 and so are divisible by 1
345/3 = 115         gives remainder 0 and so are divisible by 3
345/5 = 69         gives remainder 0 and so are divisible by 5
345/15 = 23         gives remainder 0 and so are divisible by 15
345/23 = 15         gives remainder 0 and so are divisible by 23
345/69 = 5         gives remainder 0 and so are divisible by 69
345/115 = 3         gives remainder 0 and so are divisible by 115
345/345 = 1         gives remainder 0 and so are divisible by 345

Factors of 347

347/1 = 347         gives remainder 0 and so are divisible by 1
347/347 = 1         gives remainder 0 and so are divisible by 347

Converting to factors of 342,345,347

We get factors of 342,345,347 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 342,345,347 without remainders. So first number to consider is 1 and 342,345,347

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

342  343  344  345  346  

344  345  346  347  348  

343  344  345  346  347  

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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