Q: What are the factor combinations of the number 125,456,555?

 A:
Positive:   1 x 1254565555 x 250913117 x 1792236535 x 3584473113 x 1110235565 x 222047791 x 1586053955 x 31721
Negative: -1 x -125456555-5 x -25091311-7 x -17922365-35 x -3584473-113 x -1110235-565 x -222047-791 x -158605-3955 x -31721


How do I find the factor combinations of the number 125,456,555?

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 125,456,555, 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.

1 125,456,555
-1 -125,456,555

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 125,456,555.

Example:
1 x 125,456,555 = 125,456,555
and
-1 x -125,456,555 = 125,456,555
Notice both answers equal 125,456,555

With that explanation out of the way, let's continue. Next, we take the number 125,456,555 and divide it by 2:

125,456,555 ÷ 2 = 62,728,277.5

If the quotient is a whole number, then 2 and 62,728,277.5 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:

1 125,456,555
-1 -125,456,555

Now, we try dividing 125,456,555 by 3:

125,456,555 ÷ 3 = 41,818,851.6667

If the quotient is a whole number, then 3 and 41,818,851.6667 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:

1 125,456,555
-1 -125,456,555

Let's try dividing by 4:

125,456,555 ÷ 4 = 31,364,138.75

If the quotient is a whole number, then 4 and 31,364,138.75 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:

1 125,456,555
-1 125,456,555
Keep dividing by the next highest number until you cannot divide anymore.

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

157351135657913,95531,721158,605222,0471,110,2353,584,47317,922,36525,091,311125,456,555
-1-5-7-35-113-565-791-3,955-31,721-158,605-222,047-1,110,235-3,584,473-17,922,365-25,091,311-125,456,555

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