Q: What are the factor combinations of the number 118,880,489?

 A:
Positive:   1 x 1188804897 x 1698292713 x 914465391 x 1306379593 x 2004732203 x 539634151 x 286397709 x 15421
Negative: -1 x -118880489-7 x -16982927-13 x -9144653-91 x -1306379-593 x -200473-2203 x -53963-4151 x -28639-7709 x -15421


How do I find the factor combinations of the number 118,880,489?

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 118,880,489, 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.

1 118,880,489
-1 -118,880,489

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 118,880,489.

Example:
1 x 118,880,489 = 118,880,489
and
-1 x -118,880,489 = 118,880,489
Notice both answers equal 118,880,489

With that explanation out of the way, let's continue. Next, we take the number 118,880,489 and divide it by 2:

118,880,489 ÷ 2 = 59,440,244.5

If the quotient is a whole number, then 2 and 59,440,244.5 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:

1 118,880,489
-1 -118,880,489

Now, we try dividing 118,880,489 by 3:

118,880,489 ÷ 3 = 39,626,829.6667

If the quotient is a whole number, then 3 and 39,626,829.6667 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:

1 118,880,489
-1 -118,880,489

Let's try dividing by 4:

118,880,489 ÷ 4 = 29,720,122.25

If the quotient is a whole number, then 4 and 29,720,122.25 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:

1 118,880,489
-1 118,880,489
Keep dividing by the next highest number until you cannot divide anymore.

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

1713915932,2034,1517,70915,42128,63953,963200,4731,306,3799,144,65316,982,927118,880,489
-1-7-13-91-593-2,203-4,151-7,709-15,421-28,639-53,963-200,473-1,306,379-9,144,653-16,982,927-118,880,489

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