Q: What are the factor combinations of the number 788,684,039?

 A:
Positive:   1 x 78868403911 x 7169854913 x 60668003143 x 5515273
Negative: -1 x -788684039-11 x -71698549-13 x -60668003-143 x -5515273


How do I find the factor combinations of the number 788,684,039?

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 788,684,039, 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.

1 788,684,039
-1 -788,684,039

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 788,684,039.

Example:
1 x 788,684,039 = 788,684,039
and
-1 x -788,684,039 = 788,684,039
Notice both answers equal 788,684,039

With that explanation out of the way, let's continue. Next, we take the number 788,684,039 and divide it by 2:

788,684,039 ÷ 2 = 394,342,019.5

If the quotient is a whole number, then 2 and 394,342,019.5 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:

1 788,684,039
-1 -788,684,039

Now, we try dividing 788,684,039 by 3:

788,684,039 ÷ 3 = 262,894,679.6667

If the quotient is a whole number, then 3 and 262,894,679.6667 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:

1 788,684,039
-1 -788,684,039

Let's try dividing by 4:

788,684,039 ÷ 4 = 197,171,009.75

If the quotient is a whole number, then 4 and 197,171,009.75 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:

1 788,684,039
-1 788,684,039
Keep dividing by the next highest number until you cannot divide anymore.

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

111131435,515,27360,668,00371,698,549788,684,039
-1-11-13-143-5,515,273-60,668,003-71,698,549-788,684,039

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 788,684,039:


Ask a Question