Q: What are the factor combinations of the number 988,975?

 A:
Positive:   1 x 9889755 x 19779513 x 7607517 x 5817525 x 3955965 x 1521585 x 11635179 x 5525221 x 4475325 x 3043425 x 2327895 x 1105
Negative: -1 x -988975-5 x -197795-13 x -76075-17 x -58175-25 x -39559-65 x -15215-85 x -11635-179 x -5525-221 x -4475-325 x -3043-425 x -2327-895 x -1105


How do I find the factor combinations of the number 988,975?

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 988,975, 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.

1 988,975
-1 -988,975

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 988,975.

Example:
1 x 988,975 = 988,975
and
-1 x -988,975 = 988,975
Notice both answers equal 988,975

With that explanation out of the way, let's continue. Next, we take the number 988,975 and divide it by 2:

988,975 ÷ 2 = 494,487.5

If the quotient is a whole number, then 2 and 494,487.5 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:

1 988,975
-1 -988,975

Now, we try dividing 988,975 by 3:

988,975 ÷ 3 = 329,658.3333

If the quotient is a whole number, then 3 and 329,658.3333 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:

1 988,975
-1 -988,975

Let's try dividing by 4:

988,975 ÷ 4 = 247,243.75

If the quotient is a whole number, then 4 and 247,243.75 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:

1 988,975
-1 988,975
Keep dividing by the next highest number until you cannot divide anymore.

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

1513172565851792213254258951,1052,3273,0434,4755,52511,63515,21539,55958,17576,075197,795988,975
-1-5-13-17-25-65-85-179-221-325-425-895-1,105-2,327-3,043-4,475-5,525-11,635-15,215-39,559-58,175-76,075-197,795-988,975

More Examples

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