Q: What are the factor combinations of the number 765,535,565?

 A:
Positive:   1 x 7655355655 x 15310711323 x 33284155115 x 6656831179 x 4276735895 x 8553474117 x 18594520585 x 37189
Negative: -1 x -765535565-5 x -153107113-23 x -33284155-115 x -6656831-179 x -4276735-895 x -855347-4117 x -185945-20585 x -37189


How do I find the factor combinations of the number 765,535,565?

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 765,535,565, 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.

1 765,535,565
-1 -765,535,565

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 765,535,565.

Example:
1 x 765,535,565 = 765,535,565
and
-1 x -765,535,565 = 765,535,565
Notice both answers equal 765,535,565

With that explanation out of the way, let's continue. Next, we take the number 765,535,565 and divide it by 2:

765,535,565 ÷ 2 = 382,767,782.5

If the quotient is a whole number, then 2 and 382,767,782.5 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:

1 765,535,565
-1 -765,535,565

Now, we try dividing 765,535,565 by 3:

765,535,565 ÷ 3 = 255,178,521.6667

If the quotient is a whole number, then 3 and 255,178,521.6667 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:

1 765,535,565
-1 -765,535,565

Let's try dividing by 4:

765,535,565 ÷ 4 = 191,383,891.25

If the quotient is a whole number, then 4 and 191,383,891.25 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:

1 765,535,565
-1 765,535,565
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151798954,11720,58537,189185,945855,3474,276,7356,656,83133,284,155153,107,113765,535,565
-1-5-23-115-179-895-4,117-20,585-37,189-185,945-855,347-4,276,735-6,656,831-33,284,155-153,107,113-765,535,565

More Examples

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