Q: What are the factor combinations of the number 321,215,005?

 A:
Positive:   1 x 3212150055 x 6424300171 x 4524155355 x 904831479 x 6705951889 x 1700452395 x 1341199445 x 34009
Negative: -1 x -321215005-5 x -64243001-71 x -4524155-355 x -904831-479 x -670595-1889 x -170045-2395 x -134119-9445 x -34009


How do I find the factor combinations of the number 321,215,005?

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 321,215,005, 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.

1 321,215,005
-1 -321,215,005

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 321,215,005.

Example:
1 x 321,215,005 = 321,215,005
and
-1 x -321,215,005 = 321,215,005
Notice both answers equal 321,215,005

With that explanation out of the way, let's continue. Next, we take the number 321,215,005 and divide it by 2:

321,215,005 ÷ 2 = 160,607,502.5

If the quotient is a whole number, then 2 and 160,607,502.5 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:

1 321,215,005
-1 -321,215,005

Now, we try dividing 321,215,005 by 3:

321,215,005 ÷ 3 = 107,071,668.3333

If the quotient is a whole number, then 3 and 107,071,668.3333 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:

1 321,215,005
-1 -321,215,005

Let's try dividing by 4:

321,215,005 ÷ 4 = 80,303,751.25

If the quotient is a whole number, then 4 and 80,303,751.25 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:

1 321,215,005
-1 321,215,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15713554791,8892,3959,44534,009134,119170,045670,595904,8314,524,15564,243,001321,215,005
-1-5-71-355-479-1,889-2,395-9,445-34,009-134,119-170,045-670,595-904,831-4,524,155-64,243,001-321,215,005

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