Q: What are the factor combinations of the number 13,491,293?

 A:
Positive:   1 x 1349129329 x 46521731 x 43520343 x 313751349 x 38657899 x 150071247 x 108191333 x 10121
Negative: -1 x -13491293-29 x -465217-31 x -435203-43 x -313751-349 x -38657-899 x -15007-1247 x -10819-1333 x -10121


How do I find the factor combinations of the number 13,491,293?

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 13,491,293, 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 13,491,293
-1 -13,491,293

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 13,491,293.

Example:
1 x 13,491,293 = 13,491,293
and
-1 x -13,491,293 = 13,491,293
Notice both answers equal 13,491,293

With that explanation out of the way, let's continue. Next, we take the number 13,491,293 and divide it by 2:

13,491,293 ÷ 2 = 6,745,646.5

If the quotient is a whole number, then 2 and 6,745,646.5 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 13,491,293
-1 -13,491,293

Now, we try dividing 13,491,293 by 3:

13,491,293 ÷ 3 = 4,497,097.6667

If the quotient is a whole number, then 3 and 4,497,097.6667 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 13,491,293
-1 -13,491,293

Let's try dividing by 4:

13,491,293 ÷ 4 = 3,372,823.25

If the quotient is a whole number, then 4 and 3,372,823.25 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 13,491,293
-1 13,491,293
Keep dividing by the next highest number until you cannot divide anymore.

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

12931433498991,2471,33310,12110,81915,00738,657313,751435,203465,21713,491,293
-1-29-31-43-349-899-1,247-1,333-10,121-10,819-15,007-38,657-313,751-435,203-465,217-13,491,293

More Examples

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