Q: What are the factor combinations of the number 125,544,155?

 A:
Positive:   1 x 1255441555 x 2510883111 x 1141310555 x 2282621121 x 1037555605 x 207511
Negative: -1 x -125544155-5 x -25108831-11 x -11413105-55 x -2282621-121 x -1037555-605 x -207511


How do I find the factor combinations of the number 125,544,155?

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 125,544,155, 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.

1 125,544,155
-1 -125,544,155

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 125,544,155.

Example:
1 x 125,544,155 = 125,544,155
and
-1 x -125,544,155 = 125,544,155
Notice both answers equal 125,544,155

With that explanation out of the way, let's continue. Next, we take the number 125,544,155 and divide it by 2:

125,544,155 ÷ 2 = 62,772,077.5

If the quotient is a whole number, then 2 and 62,772,077.5 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:

1 125,544,155
-1 -125,544,155

Now, we try dividing 125,544,155 by 3:

125,544,155 ÷ 3 = 41,848,051.6667

If the quotient is a whole number, then 3 and 41,848,051.6667 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:

1 125,544,155
-1 -125,544,155

Let's try dividing by 4:

125,544,155 ÷ 4 = 31,386,038.75

If the quotient is a whole number, then 4 and 31,386,038.75 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:

1 125,544,155
-1 125,544,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151155121605207,5111,037,5552,282,62111,413,10525,108,831125,544,155
-1-5-11-55-121-605-207,511-1,037,555-2,282,621-11,413,105-25,108,831-125,544,155

More Examples

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