Q: What are the factor combinations of the number 200,927,489?

 A:
Positive:   1 x 2009274897 x 2870392719 x 1057513149 x 4100561107 x 1877827133 x 1510733749 x 268261931 x 2158192017 x 996172033 x 988335243 x 3832314119 x 14231
Negative: -1 x -200927489-7 x -28703927-19 x -10575131-49 x -4100561-107 x -1877827-133 x -1510733-749 x -268261-931 x -215819-2017 x -99617-2033 x -98833-5243 x -38323-14119 x -14231


How do I find the factor combinations of the number 200,927,489?

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 200,927,489, 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.

1 200,927,489
-1 -200,927,489

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 200,927,489.

Example:
1 x 200,927,489 = 200,927,489
and
-1 x -200,927,489 = 200,927,489
Notice both answers equal 200,927,489

With that explanation out of the way, let's continue. Next, we take the number 200,927,489 and divide it by 2:

200,927,489 ÷ 2 = 100,463,744.5

If the quotient is a whole number, then 2 and 100,463,744.5 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:

1 200,927,489
-1 -200,927,489

Now, we try dividing 200,927,489 by 3:

200,927,489 ÷ 3 = 66,975,829.6667

If the quotient is a whole number, then 3 and 66,975,829.6667 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:

1 200,927,489
-1 -200,927,489

Let's try dividing by 4:

200,927,489 ÷ 4 = 50,231,872.25

If the quotient is a whole number, then 4 and 50,231,872.25 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:

1 200,927,489
-1 200,927,489
Keep dividing by the next highest number until you cannot divide anymore.

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

1719491071337499312,0172,0335,24314,11914,23138,32398,83399,617215,819268,2611,510,7331,877,8274,100,56110,575,13128,703,927200,927,489
-1-7-19-49-107-133-749-931-2,017-2,033-5,243-14,119-14,231-38,323-98,833-99,617-215,819-268,261-1,510,733-1,877,827-4,100,561-10,575,131-28,703,927-200,927,489

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