Q: What are the factor combinations of the number 303,062,125?

 A:
Positive:   1 x 3030621255 x 6061242525 x 12122485125 x 2424497269 x 11266251345 x 2253256725 x 450659013 x 33625
Negative: -1 x -303062125-5 x -60612425-25 x -12122485-125 x -2424497-269 x -1126625-1345 x -225325-6725 x -45065-9013 x -33625


How do I find the factor combinations of the number 303,062,125?

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 303,062,125, 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.

1 303,062,125
-1 -303,062,125

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 303,062,125.

Example:
1 x 303,062,125 = 303,062,125
and
-1 x -303,062,125 = 303,062,125
Notice both answers equal 303,062,125

With that explanation out of the way, let's continue. Next, we take the number 303,062,125 and divide it by 2:

303,062,125 ÷ 2 = 151,531,062.5

If the quotient is a whole number, then 2 and 151,531,062.5 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:

1 303,062,125
-1 -303,062,125

Now, we try dividing 303,062,125 by 3:

303,062,125 ÷ 3 = 101,020,708.3333

If the quotient is a whole number, then 3 and 101,020,708.3333 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:

1 303,062,125
-1 -303,062,125

Let's try dividing by 4:

303,062,125 ÷ 4 = 75,765,531.25

If the quotient is a whole number, then 4 and 75,765,531.25 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:

1 303,062,125
-1 303,062,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252691,3456,7259,01333,62545,065225,3251,126,6252,424,49712,122,48560,612,425303,062,125
-1-5-25-125-269-1,345-6,725-9,013-33,625-45,065-225,325-1,126,625-2,424,497-12,122,485-60,612,425-303,062,125

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