Q: What are the factor combinations of the number 13,950,443?

 A:
Positive:   1 x 1395044313 x 107311123 x 60654137 x 37703997 x 143819169 x 82547299 x 46657481 x 29003851 x 163931261 x 110632231 x 62533589 x 3887
Negative: -1 x -13950443-13 x -1073111-23 x -606541-37 x -377039-97 x -143819-169 x -82547-299 x -46657-481 x -29003-851 x -16393-1261 x -11063-2231 x -6253-3589 x -3887


How do I find the factor combinations of the number 13,950,443?

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 13,950,443, 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 13,950,443
-1 -13,950,443

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 13,950,443.

Example:
1 x 13,950,443 = 13,950,443
and
-1 x -13,950,443 = 13,950,443
Notice both answers equal 13,950,443

With that explanation out of the way, let's continue. Next, we take the number 13,950,443 and divide it by 2:

13,950,443 ÷ 2 = 6,975,221.5

If the quotient is a whole number, then 2 and 6,975,221.5 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 13,950,443
-1 -13,950,443

Now, we try dividing 13,950,443 by 3:

13,950,443 ÷ 3 = 4,650,147.6667

If the quotient is a whole number, then 3 and 4,650,147.6667 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 13,950,443
-1 -13,950,443

Let's try dividing by 4:

13,950,443 ÷ 4 = 3,487,610.75

If the quotient is a whole number, then 4 and 3,487,610.75 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 13,950,443
-1 13,950,443
Keep dividing by the next highest number until you cannot divide anymore.

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

1132337971692994818511,2612,2313,5893,8876,25311,06316,39329,00346,65782,547143,819377,039606,5411,073,11113,950,443
-1-13-23-37-97-169-299-481-851-1,261-2,231-3,589-3,887-6,253-11,063-16,393-29,003-46,657-82,547-143,819-377,039-606,541-1,073,111-13,950,443

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,950,443:


Ask a Question