Q: What are the factor combinations of the number 116,202,317?

 A:
Positive:   1 x 1162023177 x 1660033111 x 1056384777 x 1509121643 x 1807192347 x 495114501 x 258177073 x 16429
Negative: -1 x -116202317-7 x -16600331-11 x -10563847-77 x -1509121-643 x -180719-2347 x -49511-4501 x -25817-7073 x -16429


How do I find the factor combinations of the number 116,202,317?

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 116,202,317, 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.

1 116,202,317
-1 -116,202,317

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 116,202,317.

Example:
1 x 116,202,317 = 116,202,317
and
-1 x -116,202,317 = 116,202,317
Notice both answers equal 116,202,317

With that explanation out of the way, let's continue. Next, we take the number 116,202,317 and divide it by 2:

116,202,317 ÷ 2 = 58,101,158.5

If the quotient is a whole number, then 2 and 58,101,158.5 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:

1 116,202,317
-1 -116,202,317

Now, we try dividing 116,202,317 by 3:

116,202,317 ÷ 3 = 38,734,105.6667

If the quotient is a whole number, then 3 and 38,734,105.6667 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:

1 116,202,317
-1 -116,202,317

Let's try dividing by 4:

116,202,317 ÷ 4 = 29,050,579.25

If the quotient is a whole number, then 4 and 29,050,579.25 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:

1 116,202,317
-1 116,202,317
Keep dividing by the next highest number until you cannot divide anymore.

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

1711776432,3474,5017,07316,42925,81749,511180,7191,509,12110,563,84716,600,331116,202,317
-1-7-11-77-643-2,347-4,501-7,073-16,429-25,817-49,511-180,719-1,509,121-10,563,847-16,600,331-116,202,317

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