Q: What are the factor combinations of the number 18,317,959?

 A:
Positive:   1 x 1831795911 x 166526917 x 107752723 x 796433187 x 97957253 x 72403391 x 468494259 x 4301
Negative: -1 x -18317959-11 x -1665269-17 x -1077527-23 x -796433-187 x -97957-253 x -72403-391 x -46849-4259 x -4301


How do I find the factor combinations of the number 18,317,959?

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 18,317,959, 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 18,317,959
-1 -18,317,959

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 18,317,959.

Example:
1 x 18,317,959 = 18,317,959
and
-1 x -18,317,959 = 18,317,959
Notice both answers equal 18,317,959

With that explanation out of the way, let's continue. Next, we take the number 18,317,959 and divide it by 2:

18,317,959 ÷ 2 = 9,158,979.5

If the quotient is a whole number, then 2 and 9,158,979.5 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 18,317,959
-1 -18,317,959

Now, we try dividing 18,317,959 by 3:

18,317,959 ÷ 3 = 6,105,986.3333

If the quotient is a whole number, then 3 and 6,105,986.3333 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 18,317,959
-1 -18,317,959

Let's try dividing by 4:

18,317,959 ÷ 4 = 4,579,489.75

If the quotient is a whole number, then 4 and 4,579,489.75 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 18,317,959
-1 18,317,959
Keep dividing by the next highest number until you cannot divide anymore.

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

11117231872533914,2594,30146,84972,40397,957796,4331,077,5271,665,26918,317,959
-1-11-17-23-187-253-391-4,259-4,301-46,849-72,403-97,957-796,433-1,077,527-1,665,269-18,317,959

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 18,317,959:


Ask a Question