Q: What are the factor combinations of the number 577,120,039?

 A:
Positive:   1 x 57712003929 x 19900691
Negative: -1 x -577120039-29 x -19900691


How do I find the factor combinations of the number 577,120,039?

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 577,120,039, 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.

1 577,120,039
-1 -577,120,039

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 577,120,039.

Example:
1 x 577,120,039 = 577,120,039
and
-1 x -577,120,039 = 577,120,039
Notice both answers equal 577,120,039

With that explanation out of the way, let's continue. Next, we take the number 577,120,039 and divide it by 2:

577,120,039 ÷ 2 = 288,560,019.5

If the quotient is a whole number, then 2 and 288,560,019.5 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:

1 577,120,039
-1 -577,120,039

Now, we try dividing 577,120,039 by 3:

577,120,039 ÷ 3 = 192,373,346.3333

If the quotient is a whole number, then 3 and 192,373,346.3333 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:

1 577,120,039
-1 -577,120,039

Let's try dividing by 4:

577,120,039 ÷ 4 = 144,280,009.75

If the quotient is a whole number, then 4 and 144,280,009.75 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:

1 577,120,039
-1 577,120,039
Keep dividing by the next highest number until you cannot divide anymore.

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

12919,900,691577,120,039
-1-29-19,900,691-577,120,039

More Examples

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