Q: What are the factor combinations of the number 317,307,625?

 A:
Positive:   1 x 3173076255 x 6346152525 x 12692305125 x 2538461151 x 2101375755 x 4202753775 x 8405516811 x 18875
Negative: -1 x -317307625-5 x -63461525-25 x -12692305-125 x -2538461-151 x -2101375-755 x -420275-3775 x -84055-16811 x -18875


How do I find the factor combinations of the number 317,307,625?

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 317,307,625, 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.

1 317,307,625
-1 -317,307,625

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 317,307,625.

Example:
1 x 317,307,625 = 317,307,625
and
-1 x -317,307,625 = 317,307,625
Notice both answers equal 317,307,625

With that explanation out of the way, let's continue. Next, we take the number 317,307,625 and divide it by 2:

317,307,625 ÷ 2 = 158,653,812.5

If the quotient is a whole number, then 2 and 158,653,812.5 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:

1 317,307,625
-1 -317,307,625

Now, we try dividing 317,307,625 by 3:

317,307,625 ÷ 3 = 105,769,208.3333

If the quotient is a whole number, then 3 and 105,769,208.3333 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:

1 317,307,625
-1 -317,307,625

Let's try dividing by 4:

317,307,625 ÷ 4 = 79,326,906.25

If the quotient is a whole number, then 4 and 79,326,906.25 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:

1 317,307,625
-1 317,307,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251517553,77516,81118,87584,055420,2752,101,3752,538,46112,692,30563,461,525317,307,625
-1-5-25-125-151-755-3,775-16,811-18,875-84,055-420,275-2,101,375-2,538,461-12,692,305-63,461,525-317,307,625

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