Q: What are the factor combinations of the number 12,320,035?

 A:
Positive:   1 x 123200355 x 24640077 x 176000513 x 94769535 x 35200165 x 18953991 x 135385455 x 27077
Negative: -1 x -12320035-5 x -2464007-7 x -1760005-13 x -947695-35 x -352001-65 x -189539-91 x -135385-455 x -27077


How do I find the factor combinations of the number 12,320,035?

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 12,320,035, 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 12,320,035
-1 -12,320,035

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 12,320,035.

Example:
1 x 12,320,035 = 12,320,035
and
-1 x -12,320,035 = 12,320,035
Notice both answers equal 12,320,035

With that explanation out of the way, let's continue. Next, we take the number 12,320,035 and divide it by 2:

12,320,035 ÷ 2 = 6,160,017.5

If the quotient is a whole number, then 2 and 6,160,017.5 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 12,320,035
-1 -12,320,035

Now, we try dividing 12,320,035 by 3:

12,320,035 ÷ 3 = 4,106,678.3333

If the quotient is a whole number, then 3 and 4,106,678.3333 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 12,320,035
-1 -12,320,035

Let's try dividing by 4:

12,320,035 ÷ 4 = 3,080,008.75

If the quotient is a whole number, then 4 and 3,080,008.75 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 12,320,035
-1 12,320,035
Keep dividing by the next highest number until you cannot divide anymore.

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

1571335659145527,077135,385189,539352,001947,6951,760,0052,464,00712,320,035
-1-5-7-13-35-65-91-455-27,077-135,385-189,539-352,001-947,695-1,760,005-2,464,007-12,320,035

More Examples

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