Q: What are the factor combinations of the number 12,737,515?

 A:
Positive:   1 x 127375155 x 25475037 x 181964523 x 55380535 x 363929115 x 110761161 x 79115805 x 15823
Negative: -1 x -12737515-5 x -2547503-7 x -1819645-23 x -553805-35 x -363929-115 x -110761-161 x -79115-805 x -15823


How do I find the factor combinations of the number 12,737,515?

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 12,737,515, 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 12,737,515
-1 -12,737,515

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 12,737,515.

Example:
1 x 12,737,515 = 12,737,515
and
-1 x -12,737,515 = 12,737,515
Notice both answers equal 12,737,515

With that explanation out of the way, let's continue. Next, we take the number 12,737,515 and divide it by 2:

12,737,515 ÷ 2 = 6,368,757.5

If the quotient is a whole number, then 2 and 6,368,757.5 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 12,737,515
-1 -12,737,515

Now, we try dividing 12,737,515 by 3:

12,737,515 ÷ 3 = 4,245,838.3333

If the quotient is a whole number, then 3 and 4,245,838.3333 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 12,737,515
-1 -12,737,515

Let's try dividing by 4:

12,737,515 ÷ 4 = 3,184,378.75

If the quotient is a whole number, then 4 and 3,184,378.75 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 12,737,515
-1 12,737,515
Keep dividing by the next highest number until you cannot divide anymore.

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

157233511516180515,82379,115110,761363,929553,8051,819,6452,547,50312,737,515
-1-5-7-23-35-115-161-805-15,823-79,115-110,761-363,929-553,805-1,819,645-2,547,503-12,737,515

More Examples

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