Factoring Common factors of 195,198 and 200

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Factors of 195,198 and 200

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

Factors are

Factors of 195 =1, 3, 5, 13, 15, 39, 65, 195

Factors of 198 =1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Factors of 200 =1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Equivalent to

what goes into 200

what multiplies to 200

what makes 200

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The real common factors of 195,198,200 is 1

Solution

Factors are numbers that can divide without remainder.

Factors of 195

195/1 = 195         gives remainder 0 and so are divisible by 1
195/3 = 65         gives remainder 0 and so are divisible by 3
195/5 = 39         gives remainder 0 and so are divisible by 5
195/13 = 15         gives remainder 0 and so are divisible by 13
195/15 = 13         gives remainder 0 and so are divisible by 15
195/39 = 5         gives remainder 0 and so are divisible by 39
195/65 = 3         gives remainder 0 and so are divisible by 65
195/195 = 1         gives remainder 0 and so are divisible by 195

Factors of 198

198/1 = 198         gives remainder 0 and so are divisible by 1
198/2 = 99         gives remainder 0 and so are divisible by 2
198/3 = 66         gives remainder 0 and so are divisible by 3
198/6 = 33         gives remainder 0 and so are divisible by 6
198/9 = 22         gives remainder 0 and so are divisible by 9
198/11 = 18         gives remainder 0 and so are divisible by 11
198/18 = 11         gives remainder 0 and so are divisible by 18
198/22 = 9         gives remainder 0 and so are divisible by 22
198/33 = 6         gives remainder 0 and so are divisible by 33
198/66 = 3         gives remainder 0 and so are divisible by 66
198/99 = 2         gives remainder 0 and so are divisible by 99
198/198 = 1         gives remainder 0 and so are divisible by 198

Factors of 200

200/1 = 200         gives remainder 0 and so are divisible by 1
200/2 = 100         gives remainder 0 and so are divisible by 2
200/4 = 50         gives remainder 0 and so are divisible by 4
200/5 = 40         gives remainder 0 and so are divisible by 5
200/8 = 25         gives remainder 0 and so are divisible by 8
200/10 = 20         gives remainder 0 and so are divisible by 10
200/20 = 10         gives remainder 0 and so are divisible by 20
200/25 = 8         gives remainder 0 and so are divisible by 25
200/40 = 5         gives remainder 0 and so are divisible by 40
200/50 = 4         gives remainder 0 and so are divisible by 50
200/100 = 2         gives remainder 0 and so are divisible by 100
200/200 = 1         gives remainder 0 and so are divisible by 200

Converting to factors of 195,198,200

We get factors of 195,198,200 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 195,198,200 without remainders. So first number to consider is 1 and 195,198,200

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

195  196  197  198  199  

197  198  199  200  201  

196  197  198  199  200  

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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