Q: What are the factor combinations of the number 12,890,189?

 A:
Positive:   1 x 1289018913 x 99155319 x 67843123 x 560443247 x 52187299 x 43111437 x 294972269 x 5681
Negative: -1 x -12890189-13 x -991553-19 x -678431-23 x -560443-247 x -52187-299 x -43111-437 x -29497-2269 x -5681


How do I find the factor combinations of the number 12,890,189?

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 12,890,189, 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 12,890,189
-1 -12,890,189

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 12,890,189.

Example:
1 x 12,890,189 = 12,890,189
and
-1 x -12,890,189 = 12,890,189
Notice both answers equal 12,890,189

With that explanation out of the way, let's continue. Next, we take the number 12,890,189 and divide it by 2:

12,890,189 ÷ 2 = 6,445,094.5

If the quotient is a whole number, then 2 and 6,445,094.5 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 12,890,189
-1 -12,890,189

Now, we try dividing 12,890,189 by 3:

12,890,189 ÷ 3 = 4,296,729.6667

If the quotient is a whole number, then 3 and 4,296,729.6667 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 12,890,189
-1 -12,890,189

Let's try dividing by 4:

12,890,189 ÷ 4 = 3,222,547.25

If the quotient is a whole number, then 4 and 3,222,547.25 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 12,890,189
-1 12,890,189
Keep dividing by the next highest number until you cannot divide anymore.

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

11319232472994372,2695,68129,49743,11152,187560,443678,431991,55312,890,189
-1-13-19-23-247-299-437-2,269-5,681-29,497-43,111-52,187-560,443-678,431-991,553-12,890,189

More Examples

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