Q: What are the factor combinations of the number 12,871,045?

 A:
Positive:   1 x 128710455 x 257420911 x 117009531 x 41519555 x 234019155 x 83039341 x 377451705 x 7549
Negative: -1 x -12871045-5 x -2574209-11 x -1170095-31 x -415195-55 x -234019-155 x -83039-341 x -37745-1705 x -7549


How do I find the factor combinations of the number 12,871,045?

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 12,871,045, 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 12,871,045
-1 -12,871,045

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 12,871,045.

Example:
1 x 12,871,045 = 12,871,045
and
-1 x -12,871,045 = 12,871,045
Notice both answers equal 12,871,045

With that explanation out of the way, let's continue. Next, we take the number 12,871,045 and divide it by 2:

12,871,045 ÷ 2 = 6,435,522.5

If the quotient is a whole number, then 2 and 6,435,522.5 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 12,871,045
-1 -12,871,045

Now, we try dividing 12,871,045 by 3:

12,871,045 ÷ 3 = 4,290,348.3333

If the quotient is a whole number, then 3 and 4,290,348.3333 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 12,871,045
-1 -12,871,045

Let's try dividing by 4:

12,871,045 ÷ 4 = 3,217,761.25

If the quotient is a whole number, then 4 and 3,217,761.25 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 12,871,045
-1 12,871,045
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,7057,54937,74583,039234,019415,1951,170,0952,574,20912,871,045
-1-5-11-31-55-155-341-1,705-7,549-37,745-83,039-234,019-415,195-1,170,095-2,574,209-12,871,045

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