Q: What are the factor combinations of the number 125,475,505?

 A:
Positive:   1 x 1254755055 x 2509510143 x 2918035215 x 583607307 x 4087151535 x 817431901 x 660059505 x 13201
Negative: -1 x -125475505-5 x -25095101-43 x -2918035-215 x -583607-307 x -408715-1535 x -81743-1901 x -66005-9505 x -13201


How do I find the factor combinations of the number 125,475,505?

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 125,475,505, 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.

1 125,475,505
-1 -125,475,505

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 125,475,505.

Example:
1 x 125,475,505 = 125,475,505
and
-1 x -125,475,505 = 125,475,505
Notice both answers equal 125,475,505

With that explanation out of the way, let's continue. Next, we take the number 125,475,505 and divide it by 2:

125,475,505 ÷ 2 = 62,737,752.5

If the quotient is a whole number, then 2 and 62,737,752.5 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:

1 125,475,505
-1 -125,475,505

Now, we try dividing 125,475,505 by 3:

125,475,505 ÷ 3 = 41,825,168.3333

If the quotient is a whole number, then 3 and 41,825,168.3333 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:

1 125,475,505
-1 -125,475,505

Let's try dividing by 4:

125,475,505 ÷ 4 = 31,368,876.25

If the quotient is a whole number, then 4 and 31,368,876.25 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:

1 125,475,505
-1 125,475,505
Keep dividing by the next highest number until you cannot divide anymore.

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

15432153071,5351,9019,50513,20166,00581,743408,715583,6072,918,03525,095,101125,475,505
-1-5-43-215-307-1,535-1,901-9,505-13,201-66,005-81,743-408,715-583,607-2,918,035-25,095,101-125,475,505

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