Q: What are the factor combinations of the number 317,652,811?

 A:
Positive:   1 x 3176528117 x 4537897319 x 16718569133 x 2388367151 x 21036611057 x 3005232869 x 11071915817 x 20083
Negative: -1 x -317652811-7 x -45378973-19 x -16718569-133 x -2388367-151 x -2103661-1057 x -300523-2869 x -110719-15817 x -20083


How do I find the factor combinations of the number 317,652,811?

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 317,652,811, 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.

1 317,652,811
-1 -317,652,811

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 317,652,811.

Example:
1 x 317,652,811 = 317,652,811
and
-1 x -317,652,811 = 317,652,811
Notice both answers equal 317,652,811

With that explanation out of the way, let's continue. Next, we take the number 317,652,811 and divide it by 2:

317,652,811 ÷ 2 = 158,826,405.5

If the quotient is a whole number, then 2 and 158,826,405.5 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:

1 317,652,811
-1 -317,652,811

Now, we try dividing 317,652,811 by 3:

317,652,811 ÷ 3 = 105,884,270.3333

If the quotient is a whole number, then 3 and 105,884,270.3333 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:

1 317,652,811
-1 -317,652,811

Let's try dividing by 4:

317,652,811 ÷ 4 = 79,413,202.75

If the quotient is a whole number, then 4 and 79,413,202.75 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:

1 317,652,811
-1 317,652,811
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331511,0572,86915,81720,083110,719300,5232,103,6612,388,36716,718,56945,378,973317,652,811
-1-7-19-133-151-1,057-2,869-15,817-20,083-110,719-300,523-2,103,661-2,388,367-16,718,569-45,378,973-317,652,811

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