Q: What are the factor combinations of the number 13,933,829?

 A:
Positive:   1 x 139338297 x 199054713 x 107183317 x 81963791 x 153119119 x 117091221 x 630491547 x 9007
Negative: -1 x -13933829-7 x -1990547-13 x -1071833-17 x -819637-91 x -153119-119 x -117091-221 x -63049-1547 x -9007


How do I find the factor combinations of the number 13,933,829?

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 13,933,829, 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 13,933,829
-1 -13,933,829

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 13,933,829.

Example:
1 x 13,933,829 = 13,933,829
and
-1 x -13,933,829 = 13,933,829
Notice both answers equal 13,933,829

With that explanation out of the way, let's continue. Next, we take the number 13,933,829 and divide it by 2:

13,933,829 ÷ 2 = 6,966,914.5

If the quotient is a whole number, then 2 and 6,966,914.5 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 13,933,829
-1 -13,933,829

Now, we try dividing 13,933,829 by 3:

13,933,829 ÷ 3 = 4,644,609.6667

If the quotient is a whole number, then 3 and 4,644,609.6667 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 13,933,829
-1 -13,933,829

Let's try dividing by 4:

13,933,829 ÷ 4 = 3,483,457.25

If the quotient is a whole number, then 4 and 3,483,457.25 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 13,933,829
-1 13,933,829
Keep dividing by the next highest number until you cannot divide anymore.

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

171317911192211,5479,00763,049117,091153,119819,6371,071,8331,990,54713,933,829
-1-7-13-17-91-119-221-1,547-9,007-63,049-117,091-153,119-819,637-1,071,833-1,990,547-13,933,829

More Examples

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