Q: What are the factor combinations of the number 317,751,301?

 A:
Positive:   1 x 3177513017 x 4539304317 x 1869125337 x 8587873119 x 2670179259 x 1226839629 x 5051694403 x 72167
Negative: -1 x -317751301-7 x -45393043-17 x -18691253-37 x -8587873-119 x -2670179-259 x -1226839-629 x -505169-4403 x -72167


How do I find the factor combinations of the number 317,751,301?

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 317,751,301, 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.

1 317,751,301
-1 -317,751,301

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 317,751,301.

Example:
1 x 317,751,301 = 317,751,301
and
-1 x -317,751,301 = 317,751,301
Notice both answers equal 317,751,301

With that explanation out of the way, let's continue. Next, we take the number 317,751,301 and divide it by 2:

317,751,301 ÷ 2 = 158,875,650.5

If the quotient is a whole number, then 2 and 158,875,650.5 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:

1 317,751,301
-1 -317,751,301

Now, we try dividing 317,751,301 by 3:

317,751,301 ÷ 3 = 105,917,100.3333

If the quotient is a whole number, then 3 and 105,917,100.3333 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:

1 317,751,301
-1 -317,751,301

Let's try dividing by 4:

317,751,301 ÷ 4 = 79,437,825.25

If the quotient is a whole number, then 4 and 79,437,825.25 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:

1 317,751,301
-1 317,751,301
Keep dividing by the next highest number until you cannot divide anymore.

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

1717371192596294,40372,167505,1691,226,8392,670,1798,587,87318,691,25345,393,043317,751,301
-1-7-17-37-119-259-629-4,403-72,167-505,169-1,226,839-2,670,179-8,587,873-18,691,253-45,393,043-317,751,301

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