Q: What are the factor combinations of the number 588,530,705?

 A:
Positive:   1 x 5885307055 x 1177061417 x 8407581535 x 16815163967 x 6086154835 x 1217236769 x 8694517389 x 33845
Negative: -1 x -588530705-5 x -117706141-7 x -84075815-35 x -16815163-967 x -608615-4835 x -121723-6769 x -86945-17389 x -33845


How do I find the factor combinations of the number 588,530,705?

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 588,530,705, 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.

1 588,530,705
-1 -588,530,705

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 588,530,705.

Example:
1 x 588,530,705 = 588,530,705
and
-1 x -588,530,705 = 588,530,705
Notice both answers equal 588,530,705

With that explanation out of the way, let's continue. Next, we take the number 588,530,705 and divide it by 2:

588,530,705 ÷ 2 = 294,265,352.5

If the quotient is a whole number, then 2 and 294,265,352.5 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:

1 588,530,705
-1 -588,530,705

Now, we try dividing 588,530,705 by 3:

588,530,705 ÷ 3 = 196,176,901.6667

If the quotient is a whole number, then 3 and 196,176,901.6667 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:

1 588,530,705
-1 -588,530,705

Let's try dividing by 4:

588,530,705 ÷ 4 = 147,132,676.25

If the quotient is a whole number, then 4 and 147,132,676.25 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:

1 588,530,705
-1 588,530,705
Keep dividing by the next highest number until you cannot divide anymore.

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

157359674,8356,76917,38933,84586,945121,723608,61516,815,16384,075,815117,706,141588,530,705
-1-5-7-35-967-4,835-6,769-17,389-33,845-86,945-121,723-608,615-16,815,163-84,075,815-117,706,141-588,530,705

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