Q: What are the factor combinations of the number 18,658,931?

 A:
Positive:   1 x 1865893119 x 98204931 x 60190179 x 236189401 x 46531589 x 316791501 x 124312449 x 7619
Negative: -1 x -18658931-19 x -982049-31 x -601901-79 x -236189-401 x -46531-589 x -31679-1501 x -12431-2449 x -7619


How do I find the factor combinations of the number 18,658,931?

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 18,658,931, 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 18,658,931
-1 -18,658,931

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 18,658,931.

Example:
1 x 18,658,931 = 18,658,931
and
-1 x -18,658,931 = 18,658,931
Notice both answers equal 18,658,931

With that explanation out of the way, let's continue. Next, we take the number 18,658,931 and divide it by 2:

18,658,931 ÷ 2 = 9,329,465.5

If the quotient is a whole number, then 2 and 9,329,465.5 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 18,658,931
-1 -18,658,931

Now, we try dividing 18,658,931 by 3:

18,658,931 ÷ 3 = 6,219,643.6667

If the quotient is a whole number, then 3 and 6,219,643.6667 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 18,658,931
-1 -18,658,931

Let's try dividing by 4:

18,658,931 ÷ 4 = 4,664,732.75

If the quotient is a whole number, then 4 and 4,664,732.75 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 18,658,931
-1 18,658,931
Keep dividing by the next highest number until you cannot divide anymore.

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

11931794015891,5012,4497,61912,43131,67946,531236,189601,901982,04918,658,931
-1-19-31-79-401-589-1,501-2,449-7,619-12,431-31,679-46,531-236,189-601,901-982,049-18,658,931

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 18,658,931:


Ask a Question