Q: What are the factor combinations of the number 765,996?

How do I find the factor combinations of the number 765,996?

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 765,996, 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		765,996
-1		-765,996

With that explanation out of the way, let's continue. Next, we take the number 765,996 and divide it by 2:

765,996 ÷ 2 = 382,998

If the quotient is a whole number, then 2 and 382,998 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

Now, we try dividing 765,996 by 3:

765,996 ÷ 3 = 255,332

If the quotient is a whole number, then 3 and 255,332 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

Let's try dividing by 4:

765,996 ÷ 4 = 191,499

If the quotient is a whole number, then 4 and 191,499 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

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

More Examples

Here are some more numbers to try:

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