Q: What are the factor combinations of the number 12,025,117?

 A:
Positive:   1 x 1202511713 x 92500931 x 38790753 x 226889403 x 29839563 x 21359689 x 174531643 x 7319
Negative: -1 x -12025117-13 x -925009-31 x -387907-53 x -226889-403 x -29839-563 x -21359-689 x -17453-1643 x -7319


How do I find the factor combinations of the number 12,025,117?

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 12,025,117, 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 12,025,117
-1 -12,025,117

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 12,025,117.

Example:
1 x 12,025,117 = 12,025,117
and
-1 x -12,025,117 = 12,025,117
Notice both answers equal 12,025,117

With that explanation out of the way, let's continue. Next, we take the number 12,025,117 and divide it by 2:

12,025,117 ÷ 2 = 6,012,558.5

If the quotient is a whole number, then 2 and 6,012,558.5 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 12,025,117
-1 -12,025,117

Now, we try dividing 12,025,117 by 3:

12,025,117 ÷ 3 = 4,008,372.3333

If the quotient is a whole number, then 3 and 4,008,372.3333 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 12,025,117
-1 -12,025,117

Let's try dividing by 4:

12,025,117 ÷ 4 = 3,006,279.25

If the quotient is a whole number, then 4 and 3,006,279.25 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 12,025,117
-1 12,025,117
Keep dividing by the next highest number until you cannot divide anymore.

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

11331534035636891,6437,31917,45321,35929,839226,889387,907925,00912,025,117
-1-13-31-53-403-563-689-1,643-7,319-17,453-21,359-29,839-226,889-387,907-925,009-12,025,117

More Examples

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