Q: What are the factor combinations of the number 321,215,335?

 A:
Positive:   1 x 3212153355 x 642430677 x 4588790531 x 1036178535 x 917758149 x 6555415155 x 2072357217 x 1480255245 x 13110831085 x 2960511519 x 2114657595 x 42293
Negative: -1 x -321215335-5 x -64243067-7 x -45887905-31 x -10361785-35 x -9177581-49 x -6555415-155 x -2072357-217 x -1480255-245 x -1311083-1085 x -296051-1519 x -211465-7595 x -42293


How do I find the factor combinations of the number 321,215,335?

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 321,215,335, 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.

1 321,215,335
-1 -321,215,335

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 321,215,335.

Example:
1 x 321,215,335 = 321,215,335
and
-1 x -321,215,335 = 321,215,335
Notice both answers equal 321,215,335

With that explanation out of the way, let's continue. Next, we take the number 321,215,335 and divide it by 2:

321,215,335 ÷ 2 = 160,607,667.5

If the quotient is a whole number, then 2 and 160,607,667.5 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:

1 321,215,335
-1 -321,215,335

Now, we try dividing 321,215,335 by 3:

321,215,335 ÷ 3 = 107,071,778.3333

If the quotient is a whole number, then 3 and 107,071,778.3333 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:

1 321,215,335
-1 -321,215,335

Let's try dividing by 4:

321,215,335 ÷ 4 = 80,303,833.75

If the quotient is a whole number, then 4 and 80,303,833.75 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:

1 321,215,335
-1 321,215,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1573135491552172451,0851,5197,59542,293211,465296,0511,311,0831,480,2552,072,3576,555,4159,177,58110,361,78545,887,90564,243,067321,215,335
-1-5-7-31-35-49-155-217-245-1,085-1,519-7,595-42,293-211,465-296,051-1,311,083-1,480,255-2,072,357-6,555,415-9,177,581-10,361,785-45,887,905-64,243,067-321,215,335

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