Q: What are the factor combinations of the number 13,818,959?

 A:
Positive:   1 x 138189597 x 197413711 x 125626977 x 179467197 x 70147911 x 151691379 x 100212167 x 6377
Negative: -1 x -13818959-7 x -1974137-11 x -1256269-77 x -179467-197 x -70147-911 x -15169-1379 x -10021-2167 x -6377


How do I find the factor combinations of the number 13,818,959?

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 13,818,959, 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 13,818,959
-1 -13,818,959

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 13,818,959.

Example:
1 x 13,818,959 = 13,818,959
and
-1 x -13,818,959 = 13,818,959
Notice both answers equal 13,818,959

With that explanation out of the way, let's continue. Next, we take the number 13,818,959 and divide it by 2:

13,818,959 ÷ 2 = 6,909,479.5

If the quotient is a whole number, then 2 and 6,909,479.5 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 13,818,959
-1 -13,818,959

Now, we try dividing 13,818,959 by 3:

13,818,959 ÷ 3 = 4,606,319.6667

If the quotient is a whole number, then 3 and 4,606,319.6667 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 13,818,959
-1 -13,818,959

Let's try dividing by 4:

13,818,959 ÷ 4 = 3,454,739.75

If the quotient is a whole number, then 4 and 3,454,739.75 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 13,818,959
-1 13,818,959
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771979111,3792,1676,37710,02115,16970,147179,4671,256,2691,974,13713,818,959
-1-7-11-77-197-911-1,379-2,167-6,377-10,021-15,169-70,147-179,467-1,256,269-1,974,137-13,818,959

More Examples

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