Q: What are the factor combinations of the number 581,656,315?

 A:
Positive:   1 x 5816563155 x 11633126323 x 25289405115 x 5057881211 x 27566651055 x 5513334853 x 11985523971 x 24265
Negative: -1 x -581656315-5 x -116331263-23 x -25289405-115 x -5057881-211 x -2756665-1055 x -551333-4853 x -119855-23971 x -24265


How do I find the factor combinations of the number 581,656,315?

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 581,656,315, 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.

1 581,656,315
-1 -581,656,315

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 581,656,315.

Example:
1 x 581,656,315 = 581,656,315
and
-1 x -581,656,315 = 581,656,315
Notice both answers equal 581,656,315

With that explanation out of the way, let's continue. Next, we take the number 581,656,315 and divide it by 2:

581,656,315 ÷ 2 = 290,828,157.5

If the quotient is a whole number, then 2 and 290,828,157.5 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:

1 581,656,315
-1 -581,656,315

Now, we try dividing 581,656,315 by 3:

581,656,315 ÷ 3 = 193,885,438.3333

If the quotient is a whole number, then 3 and 193,885,438.3333 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:

1 581,656,315
-1 -581,656,315

Let's try dividing by 4:

581,656,315 ÷ 4 = 145,414,078.75

If the quotient is a whole number, then 4 and 145,414,078.75 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:

1 581,656,315
-1 581,656,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15231152111,0554,85323,97124,265119,855551,3332,756,6655,057,88125,289,405116,331,263581,656,315
-1-5-23-115-211-1,055-4,853-23,971-24,265-119,855-551,333-2,756,665-5,057,881-25,289,405-116,331,263-581,656,315

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