Q: What are the factor combinations of the number 125,333,255?

 A:
Positive:   1 x 1253332555 x 2506665147 x 2666665235 x 533333241 x 5200551205 x 1040112213 x 5663511065 x 11327
Negative: -1 x -125333255-5 x -25066651-47 x -2666665-235 x -533333-241 x -520055-1205 x -104011-2213 x -56635-11065 x -11327


How do I find the factor combinations of the number 125,333,255?

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 125,333,255, 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.

1 125,333,255
-1 -125,333,255

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 125,333,255.

Example:
1 x 125,333,255 = 125,333,255
and
-1 x -125,333,255 = 125,333,255
Notice both answers equal 125,333,255

With that explanation out of the way, let's continue. Next, we take the number 125,333,255 and divide it by 2:

125,333,255 ÷ 2 = 62,666,627.5

If the quotient is a whole number, then 2 and 62,666,627.5 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:

1 125,333,255
-1 -125,333,255

Now, we try dividing 125,333,255 by 3:

125,333,255 ÷ 3 = 41,777,751.6667

If the quotient is a whole number, then 3 and 41,777,751.6667 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:

1 125,333,255
-1 -125,333,255

Let's try dividing by 4:

125,333,255 ÷ 4 = 31,333,313.75

If the quotient is a whole number, then 4 and 31,333,313.75 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:

1 125,333,255
-1 125,333,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15472352411,2052,21311,06511,32756,635104,011520,055533,3332,666,66525,066,651125,333,255
-1-5-47-235-241-1,205-2,213-11,065-11,327-56,635-104,011-520,055-533,333-2,666,665-25,066,651-125,333,255

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