Q: What are the factor combinations of the number 580,185,863?

 A:
Positive:   1 x 58018586331 x 1871567337 x 15680699593 x 978391853 x 6801711147 x 50582918383 x 3156121941 x 26443
Negative: -1 x -580185863-31 x -18715673-37 x -15680699-593 x -978391-853 x -680171-1147 x -505829-18383 x -31561-21941 x -26443


How do I find the factor combinations of the number 580,185,863?

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 580,185,863, 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.

1 580,185,863
-1 -580,185,863

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 580,185,863.

Example:
1 x 580,185,863 = 580,185,863
and
-1 x -580,185,863 = 580,185,863
Notice both answers equal 580,185,863

With that explanation out of the way, let's continue. Next, we take the number 580,185,863 and divide it by 2:

580,185,863 ÷ 2 = 290,092,931.5

If the quotient is a whole number, then 2 and 290,092,931.5 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:

1 580,185,863
-1 -580,185,863

Now, we try dividing 580,185,863 by 3:

580,185,863 ÷ 3 = 193,395,287.6667

If the quotient is a whole number, then 3 and 193,395,287.6667 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:

1 580,185,863
-1 -580,185,863

Let's try dividing by 4:

580,185,863 ÷ 4 = 145,046,465.75

If the quotient is a whole number, then 4 and 145,046,465.75 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:

1 580,185,863
-1 580,185,863
Keep dividing by the next highest number until you cannot divide anymore.

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

131375938531,14718,38321,94126,44331,561505,829680,171978,39115,680,69918,715,673580,185,863
-1-31-37-593-853-1,147-18,383-21,941-26,443-31,561-505,829-680,171-978,391-15,680,699-18,715,673-580,185,863

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