Q: What are the factor combinations of the number 15,029,039?

 A:
Positive:   1 x 1502903979 x 190241103 x 1459131847 x 8137
Negative: -1 x -15029039-79 x -190241-103 x -145913-1847 x -8137


How do I find the factor combinations of the number 15,029,039?

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 15,029,039, 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 15,029,039
-1 -15,029,039

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 15,029,039.

Example:
1 x 15,029,039 = 15,029,039
and
-1 x -15,029,039 = 15,029,039
Notice both answers equal 15,029,039

With that explanation out of the way, let's continue. Next, we take the number 15,029,039 and divide it by 2:

15,029,039 ÷ 2 = 7,514,519.5

If the quotient is a whole number, then 2 and 7,514,519.5 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 15,029,039
-1 -15,029,039

Now, we try dividing 15,029,039 by 3:

15,029,039 ÷ 3 = 5,009,679.6667

If the quotient is a whole number, then 3 and 5,009,679.6667 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 15,029,039
-1 -15,029,039

Let's try dividing by 4:

15,029,039 ÷ 4 = 3,757,259.75

If the quotient is a whole number, then 4 and 3,757,259.75 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 15,029,039
-1 15,029,039
Keep dividing by the next highest number until you cannot divide anymore.

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

1791031,8478,137145,913190,24115,029,039
-1-79-103-1,847-8,137-145,913-190,241-15,029,039

More Examples

Here are some more numbers to try:

Try the factor calculator

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