Q: What are the factor combinations of the number 327,426,071?

 A:
Positive:   1 x 3274260717 x 467751531549 x 21137910843 x 30197
Negative: -1 x -327426071-7 x -46775153-1549 x -211379-10843 x -30197


How do I find the factor combinations of the number 327,426,071?

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 327,426,071, 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.

1 327,426,071
-1 -327,426,071

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 327,426,071.

Example:
1 x 327,426,071 = 327,426,071
and
-1 x -327,426,071 = 327,426,071
Notice both answers equal 327,426,071

With that explanation out of the way, let's continue. Next, we take the number 327,426,071 and divide it by 2:

327,426,071 ÷ 2 = 163,713,035.5

If the quotient is a whole number, then 2 and 163,713,035.5 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:

1 327,426,071
-1 -327,426,071

Now, we try dividing 327,426,071 by 3:

327,426,071 ÷ 3 = 109,142,023.6667

If the quotient is a whole number, then 3 and 109,142,023.6667 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:

1 327,426,071
-1 -327,426,071

Let's try dividing by 4:

327,426,071 ÷ 4 = 81,856,517.75

If the quotient is a whole number, then 4 and 81,856,517.75 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:

1 327,426,071
-1 327,426,071
Keep dividing by the next highest number until you cannot divide anymore.

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

171,54910,84330,197211,37946,775,153327,426,071
-1-7-1,549-10,843-30,197-211,379-46,775,153-327,426,071

More Examples

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