Q: What are the factor combinations of the number 321,321,035?

 A:
Positive:   1 x 3213210355 x 642642077 x 4590300535 x 91806012441 x 1316353761 x 8543512205 x 2632717087 x 18805
Negative: -1 x -321321035-5 x -64264207-7 x -45903005-35 x -9180601-2441 x -131635-3761 x -85435-12205 x -26327-17087 x -18805


How do I find the factor combinations of the number 321,321,035?

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 321,321,035, 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.

1 321,321,035
-1 -321,321,035

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 321,321,035.

Example:
1 x 321,321,035 = 321,321,035
and
-1 x -321,321,035 = 321,321,035
Notice both answers equal 321,321,035

With that explanation out of the way, let's continue. Next, we take the number 321,321,035 and divide it by 2:

321,321,035 ÷ 2 = 160,660,517.5

If the quotient is a whole number, then 2 and 160,660,517.5 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:

1 321,321,035
-1 -321,321,035

Now, we try dividing 321,321,035 by 3:

321,321,035 ÷ 3 = 107,107,011.6667

If the quotient is a whole number, then 3 and 107,107,011.6667 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:

1 321,321,035
-1 -321,321,035

Let's try dividing by 4:

321,321,035 ÷ 4 = 80,330,258.75

If the quotient is a whole number, then 4 and 80,330,258.75 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:

1 321,321,035
-1 321,321,035
Keep dividing by the next highest number until you cannot divide anymore.

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

157352,4413,76112,20517,08718,80526,32785,435131,6359,180,60145,903,00564,264,207321,321,035
-1-5-7-35-2,441-3,761-12,205-17,087-18,805-26,327-85,435-131,635-9,180,601-45,903,005-64,264,207-321,321,035

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