Q: What are the factor combinations of the number 12,132,985?

 A:
Positive:   1 x 121329855 x 242659717 x 71370585 x 142741349 x 34765409 x 296651745 x 69532045 x 5933
Negative: -1 x -12132985-5 x -2426597-17 x -713705-85 x -142741-349 x -34765-409 x -29665-1745 x -6953-2045 x -5933


How do I find the factor combinations of the number 12,132,985?

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 12,132,985, 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 12,132,985
-1 -12,132,985

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 12,132,985.

Example:
1 x 12,132,985 = 12,132,985
and
-1 x -12,132,985 = 12,132,985
Notice both answers equal 12,132,985

With that explanation out of the way, let's continue. Next, we take the number 12,132,985 and divide it by 2:

12,132,985 ÷ 2 = 6,066,492.5

If the quotient is a whole number, then 2 and 6,066,492.5 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 12,132,985
-1 -12,132,985

Now, we try dividing 12,132,985 by 3:

12,132,985 ÷ 3 = 4,044,328.3333

If the quotient is a whole number, then 3 and 4,044,328.3333 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 12,132,985
-1 -12,132,985

Let's try dividing by 4:

12,132,985 ÷ 4 = 3,033,246.25

If the quotient is a whole number, then 4 and 3,033,246.25 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 12,132,985
-1 12,132,985
Keep dividing by the next highest number until you cannot divide anymore.

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

1517853494091,7452,0455,9336,95329,66534,765142,741713,7052,426,59712,132,985
-1-5-17-85-349-409-1,745-2,045-5,933-6,953-29,665-34,765-142,741-713,705-2,426,597-12,132,985

More Examples

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