Q: What are the factor combinations of the number 12,664,015?

 A:
Positive:   1 x 126640155 x 25328037 x 180914513 x 97415535 x 36182965 x 19483191 x 139165169 x 74935455 x 27833845 x 149871183 x 107052141 x 5915
Negative: -1 x -12664015-5 x -2532803-7 x -1809145-13 x -974155-35 x -361829-65 x -194831-91 x -139165-169 x -74935-455 x -27833-845 x -14987-1183 x -10705-2141 x -5915


How do I find the factor combinations of the number 12,664,015?

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 12,664,015, 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 12,664,015
-1 -12,664,015

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 12,664,015.

Example:
1 x 12,664,015 = 12,664,015
and
-1 x -12,664,015 = 12,664,015
Notice both answers equal 12,664,015

With that explanation out of the way, let's continue. Next, we take the number 12,664,015 and divide it by 2:

12,664,015 ÷ 2 = 6,332,007.5

If the quotient is a whole number, then 2 and 6,332,007.5 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 12,664,015
-1 -12,664,015

Now, we try dividing 12,664,015 by 3:

12,664,015 ÷ 3 = 4,221,338.3333

If the quotient is a whole number, then 3 and 4,221,338.3333 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 12,664,015
-1 -12,664,015

Let's try dividing by 4:

12,664,015 ÷ 4 = 3,166,003.75

If the quotient is a whole number, then 4 and 3,166,003.75 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 12,664,015
-1 12,664,015
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565911694558451,1832,1415,91510,70514,98727,83374,935139,165194,831361,829974,1551,809,1452,532,80312,664,015
-1-5-7-13-35-65-91-169-455-845-1,183-2,141-5,915-10,705-14,987-27,833-74,935-139,165-194,831-361,829-974,155-1,809,145-2,532,803-12,664,015

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