Q: What are the factor combinations of the number 8,031,325?

 A:
Positive:   1 x 80313255 x 160626525 x 32125331 x 25907543 x 186775155 x 51815215 x 37355241 x 33325775 x 103631075 x 74711205 x 66651333 x 6025
Negative: -1 x -8031325-5 x -1606265-25 x -321253-31 x -259075-43 x -186775-155 x -51815-215 x -37355-241 x -33325-775 x -10363-1075 x -7471-1205 x -6665-1333 x -6025


How do I find the factor combinations of the number 8,031,325?

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 8,031,325, 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 8,031,325
-1 -8,031,325

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 8,031,325.

Example:
1 x 8,031,325 = 8,031,325
and
-1 x -8,031,325 = 8,031,325
Notice both answers equal 8,031,325

With that explanation out of the way, let's continue. Next, we take the number 8,031,325 and divide it by 2:

8,031,325 ÷ 2 = 4,015,662.5

If the quotient is a whole number, then 2 and 4,015,662.5 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 8,031,325
-1 -8,031,325

Now, we try dividing 8,031,325 by 3:

8,031,325 ÷ 3 = 2,677,108.3333

If the quotient is a whole number, then 3 and 2,677,108.3333 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 8,031,325
-1 -8,031,325

Let's try dividing by 4:

8,031,325 ÷ 4 = 2,007,831.25

If the quotient is a whole number, then 4 and 2,007,831.25 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 8,031,325
-1 8,031,325
Keep dividing by the next highest number until you cannot divide anymore.

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

152531431552152417751,0751,2051,3336,0256,6657,47110,36333,32537,35551,815186,775259,075321,2531,606,2658,031,325
-1-5-25-31-43-155-215-241-775-1,075-1,205-1,333-6,025-6,665-7,471-10,363-33,325-37,355-51,815-186,775-259,075-321,253-1,606,265-8,031,325

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