Q: What are the factor combinations of the number 125,615,545?

 A:
Positive:   1 x 1256155455 x 2512310911 x 1141959555 x 2283919121 x 1038145605 x 207629
Negative: -1 x -125615545-5 x -25123109-11 x -11419595-55 x -2283919-121 x -1038145-605 x -207629


How do I find the factor combinations of the number 125,615,545?

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 125,615,545, 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.

1 125,615,545
-1 -125,615,545

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 125,615,545.

Example:
1 x 125,615,545 = 125,615,545
and
-1 x -125,615,545 = 125,615,545
Notice both answers equal 125,615,545

With that explanation out of the way, let's continue. Next, we take the number 125,615,545 and divide it by 2:

125,615,545 ÷ 2 = 62,807,772.5

If the quotient is a whole number, then 2 and 62,807,772.5 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:

1 125,615,545
-1 -125,615,545

Now, we try dividing 125,615,545 by 3:

125,615,545 ÷ 3 = 41,871,848.3333

If the quotient is a whole number, then 3 and 41,871,848.3333 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:

1 125,615,545
-1 -125,615,545

Let's try dividing by 4:

125,615,545 ÷ 4 = 31,403,886.25

If the quotient is a whole number, then 4 and 31,403,886.25 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:

1 125,615,545
-1 125,615,545
Keep dividing by the next highest number until you cannot divide anymore.

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

151155121605207,6291,038,1452,283,91911,419,59525,123,109125,615,545
-1-5-11-55-121-605-207,629-1,038,145-2,283,919-11,419,595-25,123,109-125,615,545

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 125,615,545:


Ask a Question