Q: What are the factor combinations of the number 13,311,989?

 A:
Positive:   1 x 1331198919 x 70063131 x 42941997 x 137237233 x 57133589 x 226011843 x 72233007 x 4427
Negative: -1 x -13311989-19 x -700631-31 x -429419-97 x -137237-233 x -57133-589 x -22601-1843 x -7223-3007 x -4427


How do I find the factor combinations of the number 13,311,989?

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 13,311,989, 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 13,311,989
-1 -13,311,989

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 13,311,989.

Example:
1 x 13,311,989 = 13,311,989
and
-1 x -13,311,989 = 13,311,989
Notice both answers equal 13,311,989

With that explanation out of the way, let's continue. Next, we take the number 13,311,989 and divide it by 2:

13,311,989 ÷ 2 = 6,655,994.5

If the quotient is a whole number, then 2 and 6,655,994.5 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 13,311,989
-1 -13,311,989

Now, we try dividing 13,311,989 by 3:

13,311,989 ÷ 3 = 4,437,329.6667

If the quotient is a whole number, then 3 and 4,437,329.6667 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 13,311,989
-1 -13,311,989

Let's try dividing by 4:

13,311,989 ÷ 4 = 3,327,997.25

If the quotient is a whole number, then 4 and 3,327,997.25 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 13,311,989
-1 13,311,989
Keep dividing by the next highest number until you cannot divide anymore.

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

11931972335891,8433,0074,4277,22322,60157,133137,237429,419700,63113,311,989
-1-19-31-97-233-589-1,843-3,007-4,427-7,223-22,601-57,133-137,237-429,419-700,631-13,311,989

More Examples

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