Q: What are the factor combinations of the number 987,805?

 A:
Positive:   1 x 9878055 x 1975617 x 14111513 x 7598535 x 2822365 x 1519791 x 10855167 x 5915169 x 5845455 x 2171835 x 1183845 x 1169
Negative: -1 x -987805-5 x -197561-7 x -141115-13 x -75985-35 x -28223-65 x -15197-91 x -10855-167 x -5915-169 x -5845-455 x -2171-835 x -1183-845 x -1169


How do I find the factor combinations of the number 987,805?

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 987,805, 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.

1 987,805
-1 -987,805

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 987,805.

Example:
1 x 987,805 = 987,805
and
-1 x -987,805 = 987,805
Notice both answers equal 987,805

With that explanation out of the way, let's continue. Next, we take the number 987,805 and divide it by 2:

987,805 ÷ 2 = 493,902.5

If the quotient is a whole number, then 2 and 493,902.5 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:

1 987,805
-1 -987,805

Now, we try dividing 987,805 by 3:

987,805 ÷ 3 = 329,268.3333

If the quotient is a whole number, then 3 and 329,268.3333 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:

1 987,805
-1 -987,805

Let's try dividing by 4:

987,805 ÷ 4 = 246,951.25

If the quotient is a whole number, then 4 and 246,951.25 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:

1 987,805
-1 987,805
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565911671694558358451,1691,1832,1715,8455,91510,85515,19728,22375,985141,115197,561987,805
-1-5-7-13-35-65-91-167-169-455-835-845-1,169-1,183-2,171-5,845-5,915-10,855-15,197-28,223-75,985-141,115-197,561-987,805

More Examples

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