Q: What are the factor combinations of the number 117,563,369?

 A:
Positive:   1 x 1175633697 x 1679476711 x 1068757977 x 1526797409 x 2874412863 x 410633733 x 314934499 x 26131
Negative: -1 x -117563369-7 x -16794767-11 x -10687579-77 x -1526797-409 x -287441-2863 x -41063-3733 x -31493-4499 x -26131


How do I find the factor combinations of the number 117,563,369?

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 117,563,369, 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.

1 117,563,369
-1 -117,563,369

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 117,563,369.

Example:
1 x 117,563,369 = 117,563,369
and
-1 x -117,563,369 = 117,563,369
Notice both answers equal 117,563,369

With that explanation out of the way, let's continue. Next, we take the number 117,563,369 and divide it by 2:

117,563,369 ÷ 2 = 58,781,684.5

If the quotient is a whole number, then 2 and 58,781,684.5 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:

1 117,563,369
-1 -117,563,369

Now, we try dividing 117,563,369 by 3:

117,563,369 ÷ 3 = 39,187,789.6667

If the quotient is a whole number, then 3 and 39,187,789.6667 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:

1 117,563,369
-1 -117,563,369

Let's try dividing by 4:

117,563,369 ÷ 4 = 29,390,842.25

If the quotient is a whole number, then 4 and 29,390,842.25 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:

1 117,563,369
-1 117,563,369
Keep dividing by the next highest number until you cannot divide anymore.

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

1711774092,8633,7334,49926,13131,49341,063287,4411,526,79710,687,57916,794,767117,563,369
-1-7-11-77-409-2,863-3,733-4,499-26,131-31,493-41,063-287,441-1,526,797-10,687,579-16,794,767-117,563,369

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