Q: What are the factor combinations of the number 12,771,031?

 A:
Positive:   1 x 127710317 x 182443313 x 98238737 x 34516391 x 140341259 x 49309481 x 265513367 x 3793
Negative: -1 x -12771031-7 x -1824433-13 x -982387-37 x -345163-91 x -140341-259 x -49309-481 x -26551-3367 x -3793


How do I find the factor combinations of the number 12,771,031?

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 12,771,031, 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 12,771,031
-1 -12,771,031

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 12,771,031.

Example:
1 x 12,771,031 = 12,771,031
and
-1 x -12,771,031 = 12,771,031
Notice both answers equal 12,771,031

With that explanation out of the way, let's continue. Next, we take the number 12,771,031 and divide it by 2:

12,771,031 ÷ 2 = 6,385,515.5

If the quotient is a whole number, then 2 and 6,385,515.5 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 12,771,031
-1 -12,771,031

Now, we try dividing 12,771,031 by 3:

12,771,031 ÷ 3 = 4,257,010.3333

If the quotient is a whole number, then 3 and 4,257,010.3333 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 12,771,031
-1 -12,771,031

Let's try dividing by 4:

12,771,031 ÷ 4 = 3,192,757.75

If the quotient is a whole number, then 4 and 3,192,757.75 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 12,771,031
-1 12,771,031
Keep dividing by the next highest number until you cannot divide anymore.

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

171337912594813,3673,79326,55149,309140,341345,163982,3871,824,43312,771,031
-1-7-13-37-91-259-481-3,367-3,793-26,551-49,309-140,341-345,163-982,387-1,824,433-12,771,031

More Examples

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