Q: What are the factor combinations of the number 200,200,319?

 A:
Positive:   1 x 20020031911 x 182000293371 x 593895399 x 37081
Negative: -1 x -200200319-11 x -18200029-3371 x -59389-5399 x -37081


How do I find the factor combinations of the number 200,200,319?

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 200,200,319, 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.

1 200,200,319
-1 -200,200,319

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 200,200,319.

Example:
1 x 200,200,319 = 200,200,319
and
-1 x -200,200,319 = 200,200,319
Notice both answers equal 200,200,319

With that explanation out of the way, let's continue. Next, we take the number 200,200,319 and divide it by 2:

200,200,319 ÷ 2 = 100,100,159.5

If the quotient is a whole number, then 2 and 100,100,159.5 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:

1 200,200,319
-1 -200,200,319

Now, we try dividing 200,200,319 by 3:

200,200,319 ÷ 3 = 66,733,439.6667

If the quotient is a whole number, then 3 and 66,733,439.6667 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:

1 200,200,319
-1 -200,200,319

Let's try dividing by 4:

200,200,319 ÷ 4 = 50,050,079.75

If the quotient is a whole number, then 4 and 50,050,079.75 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:

1 200,200,319
-1 200,200,319
Keep dividing by the next highest number until you cannot divide anymore.

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

1113,3715,39937,08159,38918,200,029200,200,319
-1-11-3,371-5,399-37,081-59,389-18,200,029-200,200,319

More Examples

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