Q: What are the factor combinations of the number 311,022,425?

 A:
Positive:   1 x 3110224255 x 622044857 x 4443177525 x 1244089735 x 8886355175 x 1777271859 x 3620752069 x 1503254295 x 724156013 x 5172510345 x 3006514483 x 21475
Negative: -1 x -311022425-5 x -62204485-7 x -44431775-25 x -12440897-35 x -8886355-175 x -1777271-859 x -362075-2069 x -150325-4295 x -72415-6013 x -51725-10345 x -30065-14483 x -21475


How do I find the factor combinations of the number 311,022,425?

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 311,022,425, 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.

1 311,022,425
-1 -311,022,425

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 311,022,425.

Example:
1 x 311,022,425 = 311,022,425
and
-1 x -311,022,425 = 311,022,425
Notice both answers equal 311,022,425

With that explanation out of the way, let's continue. Next, we take the number 311,022,425 and divide it by 2:

311,022,425 ÷ 2 = 155,511,212.5

If the quotient is a whole number, then 2 and 155,511,212.5 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:

1 311,022,425
-1 -311,022,425

Now, we try dividing 311,022,425 by 3:

311,022,425 ÷ 3 = 103,674,141.6667

If the quotient is a whole number, then 3 and 103,674,141.6667 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:

1 311,022,425
-1 -311,022,425

Let's try dividing by 4:

311,022,425 ÷ 4 = 77,755,606.25

If the quotient is a whole number, then 4 and 77,755,606.25 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:

1 311,022,425
-1 311,022,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351758592,0694,2956,01310,34514,48321,47530,06551,72572,415150,325362,0751,777,2718,886,35512,440,89744,431,77562,204,485311,022,425
-1-5-7-25-35-175-859-2,069-4,295-6,013-10,345-14,483-21,475-30,065-51,725-72,415-150,325-362,075-1,777,271-8,886,355-12,440,897-44,431,775-62,204,485-311,022,425

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