Q: What are the factor combinations of the number 317,301,775?

 A:
Positive:   1 x 3173017755 x 634603557 x 4532882525 x 1269207135 x 9065765175 x 1813153373 x 8506751865 x 1701352611 x 1215254861 x 652759325 x 3402713055 x 24305
Negative: -1 x -317301775-5 x -63460355-7 x -45328825-25 x -12692071-35 x -9065765-175 x -1813153-373 x -850675-1865 x -170135-2611 x -121525-4861 x -65275-9325 x -34027-13055 x -24305


How do I find the factor combinations of the number 317,301,775?

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 317,301,775, 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.

1 317,301,775
-1 -317,301,775

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 317,301,775.

Example:
1 x 317,301,775 = 317,301,775
and
-1 x -317,301,775 = 317,301,775
Notice both answers equal 317,301,775

With that explanation out of the way, let's continue. Next, we take the number 317,301,775 and divide it by 2:

317,301,775 ÷ 2 = 158,650,887.5

If the quotient is a whole number, then 2 and 158,650,887.5 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:

1 317,301,775
-1 -317,301,775

Now, we try dividing 317,301,775 by 3:

317,301,775 ÷ 3 = 105,767,258.3333

If the quotient is a whole number, then 3 and 105,767,258.3333 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:

1 317,301,775
-1 -317,301,775

Let's try dividing by 4:

317,301,775 ÷ 4 = 79,325,443.75

If the quotient is a whole number, then 4 and 79,325,443.75 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:

1 317,301,775
-1 317,301,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351753731,8652,6114,8619,32513,05524,30534,02765,275121,525170,135850,6751,813,1539,065,76512,692,07145,328,82563,460,355317,301,775
-1-5-7-25-35-175-373-1,865-2,611-4,861-9,325-13,055-24,305-34,027-65,275-121,525-170,135-850,675-1,813,153-9,065,765-12,692,071-45,328,825-63,460,355-317,301,775

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