Q: What are the factor combinations of the number 116,018,531?

 A:
Positive:   1 x 11601853129 x 400063979 x 146858989 x 1303579569 x 2038992291 x 506412581 x 449517031 x 16501
Negative: -1 x -116018531-29 x -4000639-79 x -1468589-89 x -1303579-569 x -203899-2291 x -50641-2581 x -44951-7031 x -16501


How do I find the factor combinations of the number 116,018,531?

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 116,018,531, 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.

1 116,018,531
-1 -116,018,531

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 116,018,531.

Example:
1 x 116,018,531 = 116,018,531
and
-1 x -116,018,531 = 116,018,531
Notice both answers equal 116,018,531

With that explanation out of the way, let's continue. Next, we take the number 116,018,531 and divide it by 2:

116,018,531 ÷ 2 = 58,009,265.5

If the quotient is a whole number, then 2 and 58,009,265.5 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:

1 116,018,531
-1 -116,018,531

Now, we try dividing 116,018,531 by 3:

116,018,531 ÷ 3 = 38,672,843.6667

If the quotient is a whole number, then 3 and 38,672,843.6667 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:

1 116,018,531
-1 -116,018,531

Let's try dividing by 4:

116,018,531 ÷ 4 = 29,004,632.75

If the quotient is a whole number, then 4 and 29,004,632.75 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:

1 116,018,531
-1 116,018,531
Keep dividing by the next highest number until you cannot divide anymore.

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

12979895692,2912,5817,03116,50144,95150,641203,8991,303,5791,468,5894,000,639116,018,531
-1-29-79-89-569-2,291-2,581-7,031-16,501-44,951-50,641-203,899-1,303,579-1,468,589-4,000,639-116,018,531

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