Q: What are the factor combinations of the number 321,010,135?

 A:
Positive:   1 x 3210101355 x 6420202729 x 1106931553 x 6056795145 x 2213863265 x 12113591537 x 2088557685 x 41771
Negative: -1 x -321010135-5 x -64202027-29 x -11069315-53 x -6056795-145 x -2213863-265 x -1211359-1537 x -208855-7685 x -41771


How do I find the factor combinations of the number 321,010,135?

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 321,010,135, 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.

1 321,010,135
-1 -321,010,135

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 321,010,135.

Example:
1 x 321,010,135 = 321,010,135
and
-1 x -321,010,135 = 321,010,135
Notice both answers equal 321,010,135

With that explanation out of the way, let's continue. Next, we take the number 321,010,135 and divide it by 2:

321,010,135 ÷ 2 = 160,505,067.5

If the quotient is a whole number, then 2 and 160,505,067.5 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:

1 321,010,135
-1 -321,010,135

Now, we try dividing 321,010,135 by 3:

321,010,135 ÷ 3 = 107,003,378.3333

If the quotient is a whole number, then 3 and 107,003,378.3333 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:

1 321,010,135
-1 -321,010,135

Let's try dividing by 4:

321,010,135 ÷ 4 = 80,252,533.75

If the quotient is a whole number, then 4 and 80,252,533.75 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:

1 321,010,135
-1 321,010,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1529531452651,5377,68541,771208,8551,211,3592,213,8636,056,79511,069,31564,202,027321,010,135
-1-5-29-53-145-265-1,537-7,685-41,771-208,855-1,211,359-2,213,863-6,056,795-11,069,315-64,202,027-321,010,135

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