Q: What are the factor combinations of the number 482,822,879?

 A:
Positive:   1 x 4828228797 x 6897469711 x 4389298937 x 1304926777 x 6270427259 x 1864181407 x 11862972849 x 169471
Negative: -1 x -482822879-7 x -68974697-11 x -43892989-37 x -13049267-77 x -6270427-259 x -1864181-407 x -1186297-2849 x -169471


How do I find the factor combinations of the number 482,822,879?

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 482,822,879, 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.

1 482,822,879
-1 -482,822,879

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 482,822,879.

Example:
1 x 482,822,879 = 482,822,879
and
-1 x -482,822,879 = 482,822,879
Notice both answers equal 482,822,879

With that explanation out of the way, let's continue. Next, we take the number 482,822,879 and divide it by 2:

482,822,879 ÷ 2 = 241,411,439.5

If the quotient is a whole number, then 2 and 241,411,439.5 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:

1 482,822,879
-1 -482,822,879

Now, we try dividing 482,822,879 by 3:

482,822,879 ÷ 3 = 160,940,959.6667

If the quotient is a whole number, then 3 and 160,940,959.6667 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:

1 482,822,879
-1 -482,822,879

Let's try dividing by 4:

482,822,879 ÷ 4 = 120,705,719.75

If the quotient is a whole number, then 4 and 120,705,719.75 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:

1 482,822,879
-1 482,822,879
Keep dividing by the next highest number until you cannot divide anymore.

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

171137772594072,849169,4711,186,2971,864,1816,270,42713,049,26743,892,98968,974,697482,822,879
-1-7-11-37-77-259-407-2,849-169,471-1,186,297-1,864,181-6,270,427-13,049,267-43,892,989-68,974,697-482,822,879

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