Q: What are the factor combinations of the number 129,040,675?

 A:
Positive:   1 x 1290406755 x 2580813525 x 5161627821 x 1571754105 x 314356287 x 20525
Negative: -1 x -129040675-5 x -25808135-25 x -5161627-821 x -157175-4105 x -31435-6287 x -20525


How do I find the factor combinations of the number 129,040,675?

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 129,040,675, 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.

1 129,040,675
-1 -129,040,675

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 129,040,675.

Example:
1 x 129,040,675 = 129,040,675
and
-1 x -129,040,675 = 129,040,675
Notice both answers equal 129,040,675

With that explanation out of the way, let's continue. Next, we take the number 129,040,675 and divide it by 2:

129,040,675 ÷ 2 = 64,520,337.5

If the quotient is a whole number, then 2 and 64,520,337.5 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:

1 129,040,675
-1 -129,040,675

Now, we try dividing 129,040,675 by 3:

129,040,675 ÷ 3 = 43,013,558.3333

If the quotient is a whole number, then 3 and 43,013,558.3333 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:

1 129,040,675
-1 -129,040,675

Let's try dividing by 4:

129,040,675 ÷ 4 = 32,260,168.75

If the quotient is a whole number, then 4 and 32,260,168.75 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:

1 129,040,675
-1 129,040,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15258214,1056,28720,52531,435157,1755,161,62725,808,135129,040,675
-1-5-25-821-4,105-6,287-20,525-31,435-157,175-5,161,627-25,808,135-129,040,675

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 129,040,675:


Ask a Question