Q: What are the factor combinations of the number 12,387,785?

 A:
Positive:   1 x 123877855 x 247755729 x 42716537 x 334805145 x 85433185 x 669611073 x 115452309 x 5365
Negative: -1 x -12387785-5 x -2477557-29 x -427165-37 x -334805-145 x -85433-185 x -66961-1073 x -11545-2309 x -5365


How do I find the factor combinations of the number 12,387,785?

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 12,387,785, 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 12,387,785
-1 -12,387,785

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 12,387,785.

Example:
1 x 12,387,785 = 12,387,785
and
-1 x -12,387,785 = 12,387,785
Notice both answers equal 12,387,785

With that explanation out of the way, let's continue. Next, we take the number 12,387,785 and divide it by 2:

12,387,785 ÷ 2 = 6,193,892.5

If the quotient is a whole number, then 2 and 6,193,892.5 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 12,387,785
-1 -12,387,785

Now, we try dividing 12,387,785 by 3:

12,387,785 ÷ 3 = 4,129,261.6667

If the quotient is a whole number, then 3 and 4,129,261.6667 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 12,387,785
-1 -12,387,785

Let's try dividing by 4:

12,387,785 ÷ 4 = 3,096,946.25

If the quotient is a whole number, then 4 and 3,096,946.25 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 12,387,785
-1 12,387,785
Keep dividing by the next highest number until you cannot divide anymore.

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

1529371451851,0732,3095,36511,54566,96185,433334,805427,1652,477,55712,387,785
-1-5-29-37-145-185-1,073-2,309-5,365-11,545-66,961-85,433-334,805-427,165-2,477,557-12,387,785

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 12,387,785:


Ask a Question