Q: What are the factor combinations of the number 482,851,711?

 A:
Positive:   1 x 48285171129 x 1665005941 x 1177687173 x 66144071189 x 4060992117 x 2280832993 x 1613275563 x 86797
Negative: -1 x -482851711-29 x -16650059-41 x -11776871-73 x -6614407-1189 x -406099-2117 x -228083-2993 x -161327-5563 x -86797


How do I find the factor combinations of the number 482,851,711?

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 482,851,711, 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.

1 482,851,711
-1 -482,851,711

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 482,851,711.

Example:
1 x 482,851,711 = 482,851,711
and
-1 x -482,851,711 = 482,851,711
Notice both answers equal 482,851,711

With that explanation out of the way, let's continue. Next, we take the number 482,851,711 and divide it by 2:

482,851,711 ÷ 2 = 241,425,855.5

If the quotient is a whole number, then 2 and 241,425,855.5 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:

1 482,851,711
-1 -482,851,711

Now, we try dividing 482,851,711 by 3:

482,851,711 ÷ 3 = 160,950,570.3333

If the quotient is a whole number, then 3 and 160,950,570.3333 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:

1 482,851,711
-1 -482,851,711

Let's try dividing by 4:

482,851,711 ÷ 4 = 120,712,927.75

If the quotient is a whole number, then 4 and 120,712,927.75 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:

1 482,851,711
-1 482,851,711
Keep dividing by the next highest number until you cannot divide anymore.

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

12941731,1892,1172,9935,56386,797161,327228,083406,0996,614,40711,776,87116,650,059482,851,711
-1-29-41-73-1,189-2,117-2,993-5,563-86,797-161,327-228,083-406,099-6,614,407-11,776,871-16,650,059-482,851,711

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