Q: What are the factor combinations of the number 708,448,039?

 A:
Positive:   1 x 70844803913 x 54496003347 x 20416374511 x 157049
Negative: -1 x -708448039-13 x -54496003-347 x -2041637-4511 x -157049


How do I find the factor combinations of the number 708,448,039?

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 708,448,039, 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.

1 708,448,039
-1 -708,448,039

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 708,448,039.

Example:
1 x 708,448,039 = 708,448,039
and
-1 x -708,448,039 = 708,448,039
Notice both answers equal 708,448,039

With that explanation out of the way, let's continue. Next, we take the number 708,448,039 and divide it by 2:

708,448,039 ÷ 2 = 354,224,019.5

If the quotient is a whole number, then 2 and 354,224,019.5 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:

1 708,448,039
-1 -708,448,039

Now, we try dividing 708,448,039 by 3:

708,448,039 ÷ 3 = 236,149,346.3333

If the quotient is a whole number, then 3 and 236,149,346.3333 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:

1 708,448,039
-1 -708,448,039

Let's try dividing by 4:

708,448,039 ÷ 4 = 177,112,009.75

If the quotient is a whole number, then 4 and 177,112,009.75 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:

1 708,448,039
-1 708,448,039
Keep dividing by the next highest number until you cannot divide anymore.

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

1133474,511157,0492,041,63754,496,003708,448,039
-1-13-347-4,511-157,049-2,041,637-54,496,003-708,448,039

More Examples

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