Q: What are the factor combinations of the number 200,211,107?

 A:
Positive:   1 x 20021110737 x 541111189 x 2249563163 x 1228289373 x 5367593293 x 607996031 x 3319713801 x 14507
Negative: -1 x -200211107-37 x -5411111-89 x -2249563-163 x -1228289-373 x -536759-3293 x -60799-6031 x -33197-13801 x -14507


How do I find the factor combinations of the number 200,211,107?

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 200,211,107, 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.

1 200,211,107
-1 -200,211,107

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 200,211,107.

Example:
1 x 200,211,107 = 200,211,107
and
-1 x -200,211,107 = 200,211,107
Notice both answers equal 200,211,107

With that explanation out of the way, let's continue. Next, we take the number 200,211,107 and divide it by 2:

200,211,107 ÷ 2 = 100,105,553.5

If the quotient is a whole number, then 2 and 100,105,553.5 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:

1 200,211,107
-1 -200,211,107

Now, we try dividing 200,211,107 by 3:

200,211,107 ÷ 3 = 66,737,035.6667

If the quotient is a whole number, then 3 and 66,737,035.6667 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:

1 200,211,107
-1 -200,211,107

Let's try dividing by 4:

200,211,107 ÷ 4 = 50,052,776.75

If the quotient is a whole number, then 4 and 50,052,776.75 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:

1 200,211,107
-1 200,211,107
Keep dividing by the next highest number until you cannot divide anymore.

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

137891633733,2936,03113,80114,50733,19760,799536,7591,228,2892,249,5635,411,111200,211,107
-1-37-89-163-373-3,293-6,031-13,801-14,507-33,197-60,799-536,759-1,228,289-2,249,563-5,411,111-200,211,107

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