Q: What are the factor combinations of the number 13,939,471?

 A:
Positive:   1 x 139394717 x 199135313 x 107226749 x 28447979 x 17644991 x 153181277 x 50323553 x 25207637 x 218831027 x 135731939 x 71893601 x 3871
Negative: -1 x -13939471-7 x -1991353-13 x -1072267-49 x -284479-79 x -176449-91 x -153181-277 x -50323-553 x -25207-637 x -21883-1027 x -13573-1939 x -7189-3601 x -3871


How do I find the factor combinations of the number 13,939,471?

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 13,939,471, 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 13,939,471
-1 -13,939,471

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 13,939,471.

Example:
1 x 13,939,471 = 13,939,471
and
-1 x -13,939,471 = 13,939,471
Notice both answers equal 13,939,471

With that explanation out of the way, let's continue. Next, we take the number 13,939,471 and divide it by 2:

13,939,471 ÷ 2 = 6,969,735.5

If the quotient is a whole number, then 2 and 6,969,735.5 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 13,939,471
-1 -13,939,471

Now, we try dividing 13,939,471 by 3:

13,939,471 ÷ 3 = 4,646,490.3333

If the quotient is a whole number, then 3 and 4,646,490.3333 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 13,939,471
-1 -13,939,471

Let's try dividing by 4:

13,939,471 ÷ 4 = 3,484,867.75

If the quotient is a whole number, then 4 and 3,484,867.75 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 13,939,471
-1 13,939,471
Keep dividing by the next highest number until you cannot divide anymore.

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

17134979912775536371,0271,9393,6013,8717,18913,57321,88325,20750,323153,181176,449284,4791,072,2671,991,35313,939,471
-1-7-13-49-79-91-277-553-637-1,027-1,939-3,601-3,871-7,189-13,573-21,883-25,207-50,323-153,181-176,449-284,479-1,072,267-1,991,353-13,939,471

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