Q: What are the factor combinations of the number 12,051,515?

 A:
Positive:   1 x 120515155 x 24103037 x 172164535 x 344329103 x 117005515 x 23401721 x 167153343 x 3605
Negative: -1 x -12051515-5 x -2410303-7 x -1721645-35 x -344329-103 x -117005-515 x -23401-721 x -16715-3343 x -3605


How do I find the factor combinations of the number 12,051,515?

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 12,051,515, 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 12,051,515
-1 -12,051,515

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 12,051,515.

Example:
1 x 12,051,515 = 12,051,515
and
-1 x -12,051,515 = 12,051,515
Notice both answers equal 12,051,515

With that explanation out of the way, let's continue. Next, we take the number 12,051,515 and divide it by 2:

12,051,515 ÷ 2 = 6,025,757.5

If the quotient is a whole number, then 2 and 6,025,757.5 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 12,051,515
-1 -12,051,515

Now, we try dividing 12,051,515 by 3:

12,051,515 ÷ 3 = 4,017,171.6667

If the quotient is a whole number, then 3 and 4,017,171.6667 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 12,051,515
-1 -12,051,515

Let's try dividing by 4:

12,051,515 ÷ 4 = 3,012,878.75

If the quotient is a whole number, then 4 and 3,012,878.75 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 12,051,515
-1 12,051,515
Keep dividing by the next highest number until you cannot divide anymore.

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

157351035157213,3433,60516,71523,401117,005344,3291,721,6452,410,30312,051,515
-1-5-7-35-103-515-721-3,343-3,605-16,715-23,401-117,005-344,329-1,721,645-2,410,303-12,051,515

More Examples

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