Q: What are the factor combinations of the number 178,267,331?

 A:
Positive:   1 x 17826733111 x 16206121113 x 1577587173 x 1030447829 x 2150391243 x 1434171903 x 936779119 x 19549
Negative: -1 x -178267331-11 x -16206121-113 x -1577587-173 x -1030447-829 x -215039-1243 x -143417-1903 x -93677-9119 x -19549


How do I find the factor combinations of the number 178,267,331?

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 178,267,331, 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.

1 178,267,331
-1 -178,267,331

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 178,267,331.

Example:
1 x 178,267,331 = 178,267,331
and
-1 x -178,267,331 = 178,267,331
Notice both answers equal 178,267,331

With that explanation out of the way, let's continue. Next, we take the number 178,267,331 and divide it by 2:

178,267,331 ÷ 2 = 89,133,665.5

If the quotient is a whole number, then 2 and 89,133,665.5 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:

1 178,267,331
-1 -178,267,331

Now, we try dividing 178,267,331 by 3:

178,267,331 ÷ 3 = 59,422,443.6667

If the quotient is a whole number, then 3 and 59,422,443.6667 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:

1 178,267,331
-1 -178,267,331

Let's try dividing by 4:

178,267,331 ÷ 4 = 44,566,832.75

If the quotient is a whole number, then 4 and 44,566,832.75 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:

1 178,267,331
-1 178,267,331
Keep dividing by the next highest number until you cannot divide anymore.

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

1111131738291,2431,9039,11919,54993,677143,417215,0391,030,4471,577,58716,206,121178,267,331
-1-11-113-173-829-1,243-1,903-9,119-19,549-93,677-143,417-215,039-1,030,447-1,577,587-16,206,121-178,267,331

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