Q: What are the factor combinations of the number 329,181,079?

 A:
Positive:   1 x 329181079127 x 2591977373 x 8825236949 x 47371
Negative: -1 x -329181079-127 x -2591977-373 x -882523-6949 x -47371


How do I find the factor combinations of the number 329,181,079?

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 329,181,079, 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.

1 329,181,079
-1 -329,181,079

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 329,181,079.

Example:
1 x 329,181,079 = 329,181,079
and
-1 x -329,181,079 = 329,181,079
Notice both answers equal 329,181,079

With that explanation out of the way, let's continue. Next, we take the number 329,181,079 and divide it by 2:

329,181,079 ÷ 2 = 164,590,539.5

If the quotient is a whole number, then 2 and 164,590,539.5 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:

1 329,181,079
-1 -329,181,079

Now, we try dividing 329,181,079 by 3:

329,181,079 ÷ 3 = 109,727,026.3333

If the quotient is a whole number, then 3 and 109,727,026.3333 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:

1 329,181,079
-1 -329,181,079

Let's try dividing by 4:

329,181,079 ÷ 4 = 82,295,269.75

If the quotient is a whole number, then 4 and 82,295,269.75 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:

1 329,181,079
-1 329,181,079
Keep dividing by the next highest number until you cannot divide anymore.

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

11273736,94947,371882,5232,591,977329,181,079
-1-127-373-6,949-47,371-882,523-2,591,977-329,181,079

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