Q: What are the factor combinations of the number 200,523,323?

 A:
Positive:   1 x 2005233237 x 2864618911 x 1822939313 x 1542487177 x 260419991 x 2203553143 x 14022611001 x 200323
Negative: -1 x -200523323-7 x -28646189-11 x -18229393-13 x -15424871-77 x -2604199-91 x -2203553-143 x -1402261-1001 x -200323


How do I find the factor combinations of the number 200,523,323?

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 200,523,323, 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.

1 200,523,323
-1 -200,523,323

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 200,523,323.

Example:
1 x 200,523,323 = 200,523,323
and
-1 x -200,523,323 = 200,523,323
Notice both answers equal 200,523,323

With that explanation out of the way, let's continue. Next, we take the number 200,523,323 and divide it by 2:

200,523,323 ÷ 2 = 100,261,661.5

If the quotient is a whole number, then 2 and 100,261,661.5 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:

1 200,523,323
-1 -200,523,323

Now, we try dividing 200,523,323 by 3:

200,523,323 ÷ 3 = 66,841,107.6667

If the quotient is a whole number, then 3 and 66,841,107.6667 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:

1 200,523,323
-1 -200,523,323

Let's try dividing by 4:

200,523,323 ÷ 4 = 50,130,830.75

If the quotient is a whole number, then 4 and 50,130,830.75 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:

1 200,523,323
-1 200,523,323
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,001200,3231,402,2612,203,5532,604,19915,424,87118,229,39328,646,189200,523,323
-1-7-11-13-77-91-143-1,001-200,323-1,402,261-2,203,553-2,604,199-15,424,871-18,229,393-28,646,189-200,523,323

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