Q: What are the factor combinations of the number 485,371,813?

 A:
Positive:   1 x 48537181379 x 6143947367 x 132253916741 x 28993
Negative: -1 x -485371813-79 x -6143947-367 x -1322539-16741 x -28993


How do I find the factor combinations of the number 485,371,813?

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 485,371,813, 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.

1 485,371,813
-1 -485,371,813

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 485,371,813.

Example:
1 x 485,371,813 = 485,371,813
and
-1 x -485,371,813 = 485,371,813
Notice both answers equal 485,371,813

With that explanation out of the way, let's continue. Next, we take the number 485,371,813 and divide it by 2:

485,371,813 ÷ 2 = 242,685,906.5

If the quotient is a whole number, then 2 and 242,685,906.5 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:

1 485,371,813
-1 -485,371,813

Now, we try dividing 485,371,813 by 3:

485,371,813 ÷ 3 = 161,790,604.3333

If the quotient is a whole number, then 3 and 161,790,604.3333 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:

1 485,371,813
-1 -485,371,813

Let's try dividing by 4:

485,371,813 ÷ 4 = 121,342,953.25

If the quotient is a whole number, then 4 and 121,342,953.25 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:

1 485,371,813
-1 485,371,813
Keep dividing by the next highest number until you cannot divide anymore.

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

17936716,74128,9931,322,5396,143,947485,371,813
-1-79-367-16,741-28,993-1,322,539-6,143,947-485,371,813

More Examples

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