Q: What are the factor combinations of the number 207,031,133?

 A:
Positive:   1 x 20703113361 x 339395383 x 2494351103 x 2010011397 x 5214895063 x 408916283 x 329518549 x 24217
Negative: -1 x -207031133-61 x -3393953-83 x -2494351-103 x -2010011-397 x -521489-5063 x -40891-6283 x -32951-8549 x -24217


How do I find the factor combinations of the number 207,031,133?

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 207,031,133, 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.

1 207,031,133
-1 -207,031,133

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 207,031,133.

Example:
1 x 207,031,133 = 207,031,133
and
-1 x -207,031,133 = 207,031,133
Notice both answers equal 207,031,133

With that explanation out of the way, let's continue. Next, we take the number 207,031,133 and divide it by 2:

207,031,133 ÷ 2 = 103,515,566.5

If the quotient is a whole number, then 2 and 103,515,566.5 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:

1 207,031,133
-1 -207,031,133

Now, we try dividing 207,031,133 by 3:

207,031,133 ÷ 3 = 69,010,377.6667

If the quotient is a whole number, then 3 and 69,010,377.6667 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:

1 207,031,133
-1 -207,031,133

Let's try dividing by 4:

207,031,133 ÷ 4 = 51,757,783.25

If the quotient is a whole number, then 4 and 51,757,783.25 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:

1 207,031,133
-1 207,031,133
Keep dividing by the next highest number until you cannot divide anymore.

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

161831033975,0636,2838,54924,21732,95140,891521,4892,010,0112,494,3513,393,953207,031,133
-1-61-83-103-397-5,063-6,283-8,549-24,217-32,951-40,891-521,489-2,010,011-2,494,351-3,393,953-207,031,133

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