Q: What are the factor combinations of the number 765,317,327?

 A:
Positive:   1 x 76531732773 x 10483799131 x 5842117191 x 4006897419 x 18265339563 x 8002913943 x 5488925021 x 30587
Negative: -1 x -765317327-73 x -10483799-131 x -5842117-191 x -4006897-419 x -1826533-9563 x -80029-13943 x -54889-25021 x -30587


How do I find the factor combinations of the number 765,317,327?

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 765,317,327, 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.

1 765,317,327
-1 -765,317,327

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 765,317,327.

Example:
1 x 765,317,327 = 765,317,327
and
-1 x -765,317,327 = 765,317,327
Notice both answers equal 765,317,327

With that explanation out of the way, let's continue. Next, we take the number 765,317,327 and divide it by 2:

765,317,327 ÷ 2 = 382,658,663.5

If the quotient is a whole number, then 2 and 382,658,663.5 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:

1 765,317,327
-1 -765,317,327

Now, we try dividing 765,317,327 by 3:

765,317,327 ÷ 3 = 255,105,775.6667

If the quotient is a whole number, then 3 and 255,105,775.6667 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:

1 765,317,327
-1 -765,317,327

Let's try dividing by 4:

765,317,327 ÷ 4 = 191,329,331.75

If the quotient is a whole number, then 4 and 191,329,331.75 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:

1 765,317,327
-1 765,317,327
Keep dividing by the next highest number until you cannot divide anymore.

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

1731311914199,56313,94325,02130,58754,88980,0291,826,5334,006,8975,842,11710,483,799765,317,327
-1-73-131-191-419-9,563-13,943-25,021-30,587-54,889-80,029-1,826,533-4,006,897-5,842,117-10,483,799-765,317,327

More Examples

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