Q: What are the factor combinations of the number 12,358,199?

 A:
Positive:   1 x 123581997 x 176545723 x 53731359 x 209461161 x 76759413 x 299231301 x 94991357 x 9107
Negative: -1 x -12358199-7 x -1765457-23 x -537313-59 x -209461-161 x -76759-413 x -29923-1301 x -9499-1357 x -9107


How do I find the factor combinations of the number 12,358,199?

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 12,358,199, 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 12,358,199
-1 -12,358,199

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 12,358,199.

Example:
1 x 12,358,199 = 12,358,199
and
-1 x -12,358,199 = 12,358,199
Notice both answers equal 12,358,199

With that explanation out of the way, let's continue. Next, we take the number 12,358,199 and divide it by 2:

12,358,199 ÷ 2 = 6,179,099.5

If the quotient is a whole number, then 2 and 6,179,099.5 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 12,358,199
-1 -12,358,199

Now, we try dividing 12,358,199 by 3:

12,358,199 ÷ 3 = 4,119,399.6667

If the quotient is a whole number, then 3 and 4,119,399.6667 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 12,358,199
-1 -12,358,199

Let's try dividing by 4:

12,358,199 ÷ 4 = 3,089,549.75

If the quotient is a whole number, then 4 and 3,089,549.75 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 12,358,199
-1 12,358,199
Keep dividing by the next highest number until you cannot divide anymore.

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

1723591614131,3011,3579,1079,49929,92376,759209,461537,3131,765,45712,358,199
-1-7-23-59-161-413-1,301-1,357-9,107-9,499-29,923-76,759-209,461-537,313-1,765,457-12,358,199

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 12,358,199:


Ask a Question