Q: What are the factor combinations of the number 13,936,013?

 A:
Positive:   1 x 139360137 x 199085913 x 107200137 x 37664991 x 153143259 x 53807481 x 289733367 x 4139
Negative: -1 x -13936013-7 x -1990859-13 x -1072001-37 x -376649-91 x -153143-259 x -53807-481 x -28973-3367 x -4139


How do I find the factor combinations of the number 13,936,013?

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 13,936,013, 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 13,936,013
-1 -13,936,013

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 13,936,013.

Example:
1 x 13,936,013 = 13,936,013
and
-1 x -13,936,013 = 13,936,013
Notice both answers equal 13,936,013

With that explanation out of the way, let's continue. Next, we take the number 13,936,013 and divide it by 2:

13,936,013 ÷ 2 = 6,968,006.5

If the quotient is a whole number, then 2 and 6,968,006.5 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 13,936,013
-1 -13,936,013

Now, we try dividing 13,936,013 by 3:

13,936,013 ÷ 3 = 4,645,337.6667

If the quotient is a whole number, then 3 and 4,645,337.6667 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 13,936,013
-1 -13,936,013

Let's try dividing by 4:

13,936,013 ÷ 4 = 3,484,003.25

If the quotient is a whole number, then 4 and 3,484,003.25 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 13,936,013
-1 13,936,013
Keep dividing by the next highest number until you cannot divide anymore.

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

171337912594813,3674,13928,97353,807153,143376,6491,072,0011,990,85913,936,013
-1-7-13-37-91-259-481-3,367-4,139-28,973-53,807-153,143-376,649-1,072,001-1,990,859-13,936,013

More Examples

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