Q: What are the factor combinations of the number 321,733,055?

 A:
Positive:   1 x 3217330555 x 643466117 x 4596186535 x 919237353 x 6070435251 x 1281805265 x 1214087371 x 867205691 x 4656051255 x 2563611757 x 1831151855 x 1734413455 x 931214837 x 665158785 x 3662313303 x 24185
Negative: -1 x -321733055-5 x -64346611-7 x -45961865-35 x -9192373-53 x -6070435-251 x -1281805-265 x -1214087-371 x -867205-691 x -465605-1255 x -256361-1757 x -183115-1855 x -173441-3455 x -93121-4837 x -66515-8785 x -36623-13303 x -24185


How do I find the factor combinations of the number 321,733,055?

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 321,733,055, 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.

1 321,733,055
-1 -321,733,055

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 321,733,055.

Example:
1 x 321,733,055 = 321,733,055
and
-1 x -321,733,055 = 321,733,055
Notice both answers equal 321,733,055

With that explanation out of the way, let's continue. Next, we take the number 321,733,055 and divide it by 2:

321,733,055 ÷ 2 = 160,866,527.5

If the quotient is a whole number, then 2 and 160,866,527.5 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:

1 321,733,055
-1 -321,733,055

Now, we try dividing 321,733,055 by 3:

321,733,055 ÷ 3 = 107,244,351.6667

If the quotient is a whole number, then 3 and 107,244,351.6667 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:

1 321,733,055
-1 -321,733,055

Let's try dividing by 4:

321,733,055 ÷ 4 = 80,433,263.75

If the quotient is a whole number, then 4 and 80,433,263.75 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:

1 321,733,055
-1 321,733,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15735532512653716911,2551,7571,8553,4554,8378,78513,30324,18536,62366,51593,121173,441183,115256,361465,605867,2051,214,0871,281,8056,070,4359,192,37345,961,86564,346,611321,733,055
-1-5-7-35-53-251-265-371-691-1,255-1,757-1,855-3,455-4,837-8,785-13,303-24,185-36,623-66,515-93,121-173,441-183,115-256,361-465,605-867,205-1,214,087-1,281,805-6,070,435-9,192,373-45,961,865-64,346,611-321,733,055

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