Q: What are the factor combinations of the number 387,664,711?

 A:
Positive:   1 x 3876647117 x 55380673229 x 1692859257 x 1508423941 x 4119711603 x 2418371799 x 2154896587 x 58853
Negative: -1 x -387664711-7 x -55380673-229 x -1692859-257 x -1508423-941 x -411971-1603 x -241837-1799 x -215489-6587 x -58853


How do I find the factor combinations of the number 387,664,711?

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 387,664,711, 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.

1 387,664,711
-1 -387,664,711

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 387,664,711.

Example:
1 x 387,664,711 = 387,664,711
and
-1 x -387,664,711 = 387,664,711
Notice both answers equal 387,664,711

With that explanation out of the way, let's continue. Next, we take the number 387,664,711 and divide it by 2:

387,664,711 ÷ 2 = 193,832,355.5

If the quotient is a whole number, then 2 and 193,832,355.5 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:

1 387,664,711
-1 -387,664,711

Now, we try dividing 387,664,711 by 3:

387,664,711 ÷ 3 = 129,221,570.3333

If the quotient is a whole number, then 3 and 129,221,570.3333 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:

1 387,664,711
-1 -387,664,711

Let's try dividing by 4:

387,664,711 ÷ 4 = 96,916,177.75

If the quotient is a whole number, then 4 and 96,916,177.75 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:

1 387,664,711
-1 387,664,711
Keep dividing by the next highest number until you cannot divide anymore.

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

172292579411,6031,7996,58758,853215,489241,837411,9711,508,4231,692,85955,380,673387,664,711
-1-7-229-257-941-1,603-1,799-6,587-58,853-215,489-241,837-411,971-1,508,423-1,692,859-55,380,673-387,664,711

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