Q: What are the factor combinations of the number 13,794,431?

 A:
Positive:   1 x 137944317 x 197063349 x 281519131 x 105301307 x 44933343 x 40217917 x 150432149 x 6419
Negative: -1 x -13794431-7 x -1970633-49 x -281519-131 x -105301-307 x -44933-343 x -40217-917 x -15043-2149 x -6419


How do I find the factor combinations of the number 13,794,431?

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 13,794,431, 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 13,794,431
-1 -13,794,431

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 13,794,431.

Example:
1 x 13,794,431 = 13,794,431
and
-1 x -13,794,431 = 13,794,431
Notice both answers equal 13,794,431

With that explanation out of the way, let's continue. Next, we take the number 13,794,431 and divide it by 2:

13,794,431 ÷ 2 = 6,897,215.5

If the quotient is a whole number, then 2 and 6,897,215.5 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 13,794,431
-1 -13,794,431

Now, we try dividing 13,794,431 by 3:

13,794,431 ÷ 3 = 4,598,143.6667

If the quotient is a whole number, then 3 and 4,598,143.6667 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 13,794,431
-1 -13,794,431

Let's try dividing by 4:

13,794,431 ÷ 4 = 3,448,607.75

If the quotient is a whole number, then 4 and 3,448,607.75 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 13,794,431
-1 13,794,431
Keep dividing by the next highest number until you cannot divide anymore.

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

17491313073439172,1496,41915,04340,21744,933105,301281,5191,970,63313,794,431
-1-7-49-131-307-343-917-2,149-6,419-15,043-40,217-44,933-105,301-281,519-1,970,633-13,794,431

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