Q: What are the factor combinations of the number 485,371,811?

 A:
Positive:   1 x 48537181117 x 2855128329 x 16736959493 x 984527499 x 9726891973 x 2460078483 x 5721714471 x 33541
Negative: -1 x -485371811-17 x -28551283-29 x -16736959-493 x -984527-499 x -972689-1973 x -246007-8483 x -57217-14471 x -33541


How do I find the factor combinations of the number 485,371,811?

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 485,371,811, 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.

1 485,371,811
-1 -485,371,811

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 485,371,811.

Example:
1 x 485,371,811 = 485,371,811
and
-1 x -485,371,811 = 485,371,811
Notice both answers equal 485,371,811

With that explanation out of the way, let's continue. Next, we take the number 485,371,811 and divide it by 2:

485,371,811 ÷ 2 = 242,685,905.5

If the quotient is a whole number, then 2 and 242,685,905.5 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:

1 485,371,811
-1 -485,371,811

Now, we try dividing 485,371,811 by 3:

485,371,811 ÷ 3 = 161,790,603.6667

If the quotient is a whole number, then 3 and 161,790,603.6667 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:

1 485,371,811
-1 -485,371,811

Let's try dividing by 4:

485,371,811 ÷ 4 = 121,342,952.75

If the quotient is a whole number, then 4 and 121,342,952.75 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:

1 485,371,811
-1 485,371,811
Keep dividing by the next highest number until you cannot divide anymore.

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

117294934991,9738,48314,47133,54157,217246,007972,689984,52716,736,95928,551,283485,371,811
-1-17-29-493-499-1,973-8,483-14,471-33,541-57,217-246,007-972,689-984,527-16,736,959-28,551,283-485,371,811

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