Q: What are the factor combinations of the number 587,882,713?

 A:
Positive:   1 x 58788271311 x 5344388343 x 13671691151 x 3893263473 x 12428811661 x 3539336493 x 905418231 x 71423
Negative: -1 x -587882713-11 x -53443883-43 x -13671691-151 x -3893263-473 x -1242881-1661 x -353933-6493 x -90541-8231 x -71423


How do I find the factor combinations of the number 587,882,713?

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 587,882,713, 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.

1 587,882,713
-1 -587,882,713

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 587,882,713.

Example:
1 x 587,882,713 = 587,882,713
and
-1 x -587,882,713 = 587,882,713
Notice both answers equal 587,882,713

With that explanation out of the way, let's continue. Next, we take the number 587,882,713 and divide it by 2:

587,882,713 ÷ 2 = 293,941,356.5

If the quotient is a whole number, then 2 and 293,941,356.5 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:

1 587,882,713
-1 -587,882,713

Now, we try dividing 587,882,713 by 3:

587,882,713 ÷ 3 = 195,960,904.3333

If the quotient is a whole number, then 3 and 195,960,904.3333 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:

1 587,882,713
-1 -587,882,713

Let's try dividing by 4:

587,882,713 ÷ 4 = 146,970,678.25

If the quotient is a whole number, then 4 and 146,970,678.25 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:

1 587,882,713
-1 587,882,713
Keep dividing by the next highest number until you cannot divide anymore.

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

111431514731,6616,4938,23171,42390,541353,9331,242,8813,893,26313,671,69153,443,883587,882,713
-1-11-43-151-473-1,661-6,493-8,231-71,423-90,541-353,933-1,242,881-3,893,263-13,671,691-53,443,883-587,882,713

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