Q: What are the factor combinations of the number 12,929,015?

 A:
Positive:   1 x 129290155 x 258580311 x 117536531 x 41706555 x 235073155 x 83413341 x 379151705 x 7583
Negative: -1 x -12929015-5 x -2585803-11 x -1175365-31 x -417065-55 x -235073-155 x -83413-341 x -37915-1705 x -7583


How do I find the factor combinations of the number 12,929,015?

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 12,929,015, 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 12,929,015
-1 -12,929,015

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 12,929,015.

Example:
1 x 12,929,015 = 12,929,015
and
-1 x -12,929,015 = 12,929,015
Notice both answers equal 12,929,015

With that explanation out of the way, let's continue. Next, we take the number 12,929,015 and divide it by 2:

12,929,015 ÷ 2 = 6,464,507.5

If the quotient is a whole number, then 2 and 6,464,507.5 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 12,929,015
-1 -12,929,015

Now, we try dividing 12,929,015 by 3:

12,929,015 ÷ 3 = 4,309,671.6667

If the quotient is a whole number, then 3 and 4,309,671.6667 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 12,929,015
-1 -12,929,015

Let's try dividing by 4:

12,929,015 ÷ 4 = 3,232,253.75

If the quotient is a whole number, then 4 and 3,232,253.75 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 12,929,015
-1 12,929,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,7057,58337,91583,413235,073417,0651,175,3652,585,80312,929,015
-1-5-11-31-55-155-341-1,705-7,583-37,915-83,413-235,073-417,065-1,175,365-2,585,803-12,929,015

More Examples

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