Factoring Common factors of 387,390 and 392

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Factors of 387,390 and 392

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

Factors are

Factors of 387 =1, 3, 9, 43, 129, 387

Factors of 390 =1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Factors of 392 =1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Equivalent to

what goes into 392

what multiplies to 392

what makes 392

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The real common factors of 387,390,392 is 1

Solution

Factors are numbers that can divide without remainder.

Factors of 387

387/1 = 387         gives remainder 0 and so are divisible by 1
387/3 = 129         gives remainder 0 and so are divisible by 3
387/9 = 43         gives remainder 0 and so are divisible by 9
387/43 = 9         gives remainder 0 and so are divisible by 43
387/129 = 3         gives remainder 0 and so are divisible by 129
387/387 = 1         gives remainder 0 and so are divisible by 387

Factors of 390

390/1 = 390         gives remainder 0 and so are divisible by 1
390/2 = 195         gives remainder 0 and so are divisible by 2
390/3 = 130         gives remainder 0 and so are divisible by 3
390/5 = 78         gives remainder 0 and so are divisible by 5
390/6 = 65         gives remainder 0 and so are divisible by 6
390/10 = 39         gives remainder 0 and so are divisible by 10
390/13 = 30         gives remainder 0 and so are divisible by 13
390/15 = 26         gives remainder 0 and so are divisible by 15
390/26 = 15         gives remainder 0 and so are divisible by 26
390/30 = 13         gives remainder 0 and so are divisible by 30
390/39 = 10         gives remainder 0 and so are divisible by 39
390/65 = 6         gives remainder 0 and so are divisible by 65
390/78 = 5         gives remainder 0 and so are divisible by 78
390/130 = 3         gives remainder 0 and so are divisible by 130
390/195 = 2         gives remainder 0 and so are divisible by 195
390/390 = 1         gives remainder 0 and so are divisible by 390

Factors of 392

392/1 = 392         gives remainder 0 and so are divisible by 1
392/2 = 196         gives remainder 0 and so are divisible by 2
392/4 = 98         gives remainder 0 and so are divisible by 4
392/7 = 56         gives remainder 0 and so are divisible by 7
392/8 = 49         gives remainder 0 and so are divisible by 8
392/14 = 28         gives remainder 0 and so are divisible by 14
392/28 = 14         gives remainder 0 and so are divisible by 28
392/49 = 8         gives remainder 0 and so are divisible by 49
392/56 = 7         gives remainder 0 and so are divisible by 56
392/98 = 4         gives remainder 0 and so are divisible by 98
392/196 = 2         gives remainder 0 and so are divisible by 196
392/392 = 1         gives remainder 0 and so are divisible by 392

Converting to factors of 387,390,392

We get factors of 387,390,392 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 387,390,392 without remainders. So first number to consider is 1 and 387,390,392

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

387  388  389  390  391  

389  390  391  392  393  

388  389  390  391  392  

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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