Q: What are the factor combinations of the number 200,200,325?

 A:
Positive:   1 x 2002003255 x 4004006513 x 1540002525 x 800801331 x 645807565 x 3080005155 x 1291615325 x 616001403 x 496775641 x 312325775 x 258323961 x 2083252015 x 993553205 x 624654805 x 416658333 x 2402510075 x 1987112493 x 16025
Negative: -1 x -200200325-5 x -40040065-13 x -15400025-25 x -8008013-31 x -6458075-65 x -3080005-155 x -1291615-325 x -616001-403 x -496775-641 x -312325-775 x -258323-961 x -208325-2015 x -99355-3205 x -62465-4805 x -41665-8333 x -24025-10075 x -19871-12493 x -16025


How do I find the factor combinations of the number 200,200,325?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 200,200,325, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 200,200,325
-1 -200,200,325

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 200,200,325.

Example:
1 x 200,200,325 = 200,200,325
and
-1 x -200,200,325 = 200,200,325
Notice both answers equal 200,200,325

With that explanation out of the way, let's continue. Next, we take the number 200,200,325 and divide it by 2:

200,200,325 ÷ 2 = 100,100,162.5

If the quotient is a whole number, then 2 and 100,100,162.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 200,200,325
-1 -200,200,325

Now, we try dividing 200,200,325 by 3:

200,200,325 ÷ 3 = 66,733,441.6667

If the quotient is a whole number, then 3 and 66,733,441.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 200,200,325
-1 -200,200,325

Let's try dividing by 4:

200,200,325 ÷ 4 = 50,050,081.25

If the quotient is a whole number, then 4 and 50,050,081.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 200,200,325
-1 200,200,325
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15132531651553254036417759612,0153,2054,8058,33310,07512,49316,02519,87124,02541,66562,46599,355208,325258,323312,325496,775616,0011,291,6153,080,0056,458,0758,008,01315,400,02540,040,065200,200,325
-1-5-13-25-31-65-155-325-403-641-775-961-2,015-3,205-4,805-8,333-10,075-12,493-16,025-19,871-24,025-41,665-62,465-99,355-208,325-258,323-312,325-496,775-616,001-1,291,615-3,080,005-6,458,075-8,008,013-15,400,025-40,040,065-200,200,325

More Examples

Here are some more numbers to try:

200,200,323200,200,324200,200,326200,200,327
Try the factor calculator

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