Q: What are the factor combinations of the number 12,026,287?

 A:
Positive:   1 x 120262877 x 171804113 x 92509991 x 132157
Negative: -1 x -12026287-7 x -1718041-13 x -925099-91 x -132157


How do I find the factor combinations of the number 12,026,287?

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 12,026,287, 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 12,026,287
-1 -12,026,287

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 12,026,287.

Example:
1 x 12,026,287 = 12,026,287
and
-1 x -12,026,287 = 12,026,287
Notice both answers equal 12,026,287

With that explanation out of the way, let's continue. Next, we take the number 12,026,287 and divide it by 2:

12,026,287 ÷ 2 = 6,013,143.5

If the quotient is a whole number, then 2 and 6,013,143.5 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 12,026,287
-1 -12,026,287

Now, we try dividing 12,026,287 by 3:

12,026,287 ÷ 3 = 4,008,762.3333

If the quotient is a whole number, then 3 and 4,008,762.3333 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 12,026,287
-1 -12,026,287

Let's try dividing by 4:

12,026,287 ÷ 4 = 3,006,571.75

If the quotient is a whole number, then 4 and 3,006,571.75 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 12,026,287
-1 12,026,287
Keep dividing by the next highest number until you cannot divide anymore.

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

171391132,157925,0991,718,04112,026,287
-1-7-13-91-132,157-925,099-1,718,041-12,026,287

More Examples

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