Q: What are the factor combinations of the number 518,471,485?

 A:
Positive:   1 x 5184714855 x 1036942977 x 7406735535 x 14813471173 x 2996945865 x 5993891211 x 4281356055 x 85627
Negative: -1 x -518471485-5 x -103694297-7 x -74067355-35 x -14813471-173 x -2996945-865 x -599389-1211 x -428135-6055 x -85627


How do I find the factor combinations of the number 518,471,485?

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 518,471,485, 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.

1 518,471,485
-1 -518,471,485

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 518,471,485.

Example:
1 x 518,471,485 = 518,471,485
and
-1 x -518,471,485 = 518,471,485
Notice both answers equal 518,471,485

With that explanation out of the way, let's continue. Next, we take the number 518,471,485 and divide it by 2:

518,471,485 ÷ 2 = 259,235,742.5

If the quotient is a whole number, then 2 and 259,235,742.5 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:

1 518,471,485
-1 -518,471,485

Now, we try dividing 518,471,485 by 3:

518,471,485 ÷ 3 = 172,823,828.3333

If the quotient is a whole number, then 3 and 172,823,828.3333 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:

1 518,471,485
-1 -518,471,485

Let's try dividing by 4:

518,471,485 ÷ 4 = 129,617,871.25

If the quotient is a whole number, then 4 and 129,617,871.25 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:

1 518,471,485
-1 518,471,485
Keep dividing by the next highest number until you cannot divide anymore.

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

157351738651,2116,05585,627428,135599,3892,996,94514,813,47174,067,355103,694,297518,471,485
-1-5-7-35-173-865-1,211-6,055-85,627-428,135-599,389-2,996,945-14,813,471-74,067,355-103,694,297-518,471,485

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