Q: What are the factor combinations of the number 788,842,027?

 A:
Positive:   1 x 78884202731 x 25446517137 x 5757971281 x 2807267661 x 11934074247 x 1857418711 x 9055720491 x 38497
Negative: -1 x -788842027-31 x -25446517-137 x -5757971-281 x -2807267-661 x -1193407-4247 x -185741-8711 x -90557-20491 x -38497


How do I find the factor combinations of the number 788,842,027?

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 788,842,027, 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.

1 788,842,027
-1 -788,842,027

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 788,842,027.

Example:
1 x 788,842,027 = 788,842,027
and
-1 x -788,842,027 = 788,842,027
Notice both answers equal 788,842,027

With that explanation out of the way, let's continue. Next, we take the number 788,842,027 and divide it by 2:

788,842,027 ÷ 2 = 394,421,013.5

If the quotient is a whole number, then 2 and 394,421,013.5 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:

1 788,842,027
-1 -788,842,027

Now, we try dividing 788,842,027 by 3:

788,842,027 ÷ 3 = 262,947,342.3333

If the quotient is a whole number, then 3 and 262,947,342.3333 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:

1 788,842,027
-1 -788,842,027

Let's try dividing by 4:

788,842,027 ÷ 4 = 197,210,506.75

If the quotient is a whole number, then 4 and 197,210,506.75 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:

1 788,842,027
-1 788,842,027
Keep dividing by the next highest number until you cannot divide anymore.

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

1311372816614,2478,71120,49138,49790,557185,7411,193,4072,807,2675,757,97125,446,517788,842,027
-1-31-137-281-661-4,247-8,711-20,491-38,497-90,557-185,741-1,193,407-2,807,267-5,757,971-25,446,517-788,842,027

More Examples

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