Q: What are the factor combinations of the number 588,843,775?

 A:
Positive:   1 x 5888437755 x 11776875513 x 4529567525 x 2355375165 x 9059135325 x 1811827
Negative: -1 x -588843775-5 x -117768755-13 x -45295675-25 x -23553751-65 x -9059135-325 x -1811827


How do I find the factor combinations of the number 588,843,775?

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 588,843,775, 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.

1 588,843,775
-1 -588,843,775

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 588,843,775.

Example:
1 x 588,843,775 = 588,843,775
and
-1 x -588,843,775 = 588,843,775
Notice both answers equal 588,843,775

With that explanation out of the way, let's continue. Next, we take the number 588,843,775 and divide it by 2:

588,843,775 ÷ 2 = 294,421,887.5

If the quotient is a whole number, then 2 and 294,421,887.5 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:

1 588,843,775
-1 -588,843,775

Now, we try dividing 588,843,775 by 3:

588,843,775 ÷ 3 = 196,281,258.3333

If the quotient is a whole number, then 3 and 196,281,258.3333 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:

1 588,843,775
-1 -588,843,775

Let's try dividing by 4:

588,843,775 ÷ 4 = 147,210,943.75

If the quotient is a whole number, then 4 and 147,210,943.75 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:

1 588,843,775
-1 588,843,775
Keep dividing by the next highest number until you cannot divide anymore.

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

151325653251,811,8279,059,13523,553,75145,295,675117,768,755588,843,775
-1-5-13-25-65-325-1,811,827-9,059,135-23,553,751-45,295,675-117,768,755-588,843,775

More Examples

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