Q: What are the factor combinations of the number 321,202,015?

 A:
Positive:   1 x 3212020155 x 6424040323 x 13965305115 x 2793061409 x 7853352045 x 1570676829 x 470359407 x 34145
Negative: -1 x -321202015-5 x -64240403-23 x -13965305-115 x -2793061-409 x -785335-2045 x -157067-6829 x -47035-9407 x -34145


How do I find the factor combinations of the number 321,202,015?

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 321,202,015, 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.

1 321,202,015
-1 -321,202,015

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 321,202,015.

Example:
1 x 321,202,015 = 321,202,015
and
-1 x -321,202,015 = 321,202,015
Notice both answers equal 321,202,015

With that explanation out of the way, let's continue. Next, we take the number 321,202,015 and divide it by 2:

321,202,015 ÷ 2 = 160,601,007.5

If the quotient is a whole number, then 2 and 160,601,007.5 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:

1 321,202,015
-1 -321,202,015

Now, we try dividing 321,202,015 by 3:

321,202,015 ÷ 3 = 107,067,338.3333

If the quotient is a whole number, then 3 and 107,067,338.3333 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:

1 321,202,015
-1 -321,202,015

Let's try dividing by 4:

321,202,015 ÷ 4 = 80,300,503.75

If the quotient is a whole number, then 4 and 80,300,503.75 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:

1 321,202,015
-1 321,202,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15231154092,0456,8299,40734,14547,035157,067785,3352,793,06113,965,30564,240,403321,202,015
-1-5-23-115-409-2,045-6,829-9,407-34,145-47,035-157,067-785,335-2,793,061-13,965,305-64,240,403-321,202,015

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