Q: What are the factor combinations of the number 125,576,015?

 A:
Positive:   1 x 1255760155 x 25115203163 x 770405815 x 154081
Negative: -1 x -125576015-5 x -25115203-163 x -770405-815 x -154081


How do I find the factor combinations of the number 125,576,015?

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 125,576,015, 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.

1 125,576,015
-1 -125,576,015

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 125,576,015.

Example:
1 x 125,576,015 = 125,576,015
and
-1 x -125,576,015 = 125,576,015
Notice both answers equal 125,576,015

With that explanation out of the way, let's continue. Next, we take the number 125,576,015 and divide it by 2:

125,576,015 ÷ 2 = 62,788,007.5

If the quotient is a whole number, then 2 and 62,788,007.5 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:

1 125,576,015
-1 -125,576,015

Now, we try dividing 125,576,015 by 3:

125,576,015 ÷ 3 = 41,858,671.6667

If the quotient is a whole number, then 3 and 41,858,671.6667 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:

1 125,576,015
-1 -125,576,015

Let's try dividing by 4:

125,576,015 ÷ 4 = 31,394,003.75

If the quotient is a whole number, then 4 and 31,394,003.75 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:

1 125,576,015
-1 125,576,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15163815154,081770,40525,115,203125,576,015
-1-5-163-815-154,081-770,405-25,115,203-125,576,015

More Examples

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