Q: What are the factor combinations of the number 329,181,083?

 A:
Positive:   1 x 3291810837 x 4702586911 x 2992555323 x 1431222177 x 4275079161 x 2044603253 x 13011111771 x 185873
Negative: -1 x -329181083-7 x -47025869-11 x -29925553-23 x -14312221-77 x -4275079-161 x -2044603-253 x -1301111-1771 x -185873


How do I find the factor combinations of the number 329,181,083?

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 329,181,083, 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.

1 329,181,083
-1 -329,181,083

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 329,181,083.

Example:
1 x 329,181,083 = 329,181,083
and
-1 x -329,181,083 = 329,181,083
Notice both answers equal 329,181,083

With that explanation out of the way, let's continue. Next, we take the number 329,181,083 and divide it by 2:

329,181,083 ÷ 2 = 164,590,541.5

If the quotient is a whole number, then 2 and 164,590,541.5 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:

1 329,181,083
-1 -329,181,083

Now, we try dividing 329,181,083 by 3:

329,181,083 ÷ 3 = 109,727,027.6667

If the quotient is a whole number, then 3 and 109,727,027.6667 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:

1 329,181,083
-1 -329,181,083

Let's try dividing by 4:

329,181,083 ÷ 4 = 82,295,270.75

If the quotient is a whole number, then 4 and 82,295,270.75 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:

1 329,181,083
-1 329,181,083
Keep dividing by the next highest number until you cannot divide anymore.

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

171123771612531,771185,8731,301,1112,044,6034,275,07914,312,22129,925,55347,025,869329,181,083
-1-7-11-23-77-161-253-1,771-185,873-1,301,111-2,044,603-4,275,079-14,312,221-29,925,553-47,025,869-329,181,083

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