Q: What are the factor combinations of the number 13,339,943?

 A:
Positive:   1 x 1333994337 x 36053989 x 1498873293 x 4051
Negative: -1 x -13339943-37 x -360539-89 x -149887-3293 x -4051


How do I find the factor combinations of the number 13,339,943?

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 13,339,943, 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 13,339,943
-1 -13,339,943

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 13,339,943.

Example:
1 x 13,339,943 = 13,339,943
and
-1 x -13,339,943 = 13,339,943
Notice both answers equal 13,339,943

With that explanation out of the way, let's continue. Next, we take the number 13,339,943 and divide it by 2:

13,339,943 ÷ 2 = 6,669,971.5

If the quotient is a whole number, then 2 and 6,669,971.5 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 13,339,943
-1 -13,339,943

Now, we try dividing 13,339,943 by 3:

13,339,943 ÷ 3 = 4,446,647.6667

If the quotient is a whole number, then 3 and 4,446,647.6667 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 13,339,943
-1 -13,339,943

Let's try dividing by 4:

13,339,943 ÷ 4 = 3,334,985.75

If the quotient is a whole number, then 4 and 3,334,985.75 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 13,339,943
-1 13,339,943
Keep dividing by the next highest number until you cannot divide anymore.

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

137893,2934,051149,887360,53913,339,943
-1-37-89-3,293-4,051-149,887-360,539-13,339,943

More Examples

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