Q: What are the factor combinations of the number 887,855?

 A:
Positive:   1 x 8878555 x 17757141 x 2165561 x 1455571 x 12505205 x 4331305 x 2911355 x 2501
Negative: -1 x -887855-5 x -177571-41 x -21655-61 x -14555-71 x -12505-205 x -4331-305 x -2911-355 x -2501


How do I find the factor combinations of the number 887,855?

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 887,855, 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.

1 887,855
-1 -887,855

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 887,855.

Example:
1 x 887,855 = 887,855
and
-1 x -887,855 = 887,855
Notice both answers equal 887,855

With that explanation out of the way, let's continue. Next, we take the number 887,855 and divide it by 2:

887,855 ÷ 2 = 443,927.5

If the quotient is a whole number, then 2 and 443,927.5 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:

1 887,855
-1 -887,855

Now, we try dividing 887,855 by 3:

887,855 ÷ 3 = 295,951.6667

If the quotient is a whole number, then 3 and 295,951.6667 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:

1 887,855
-1 -887,855

Let's try dividing by 4:

887,855 ÷ 4 = 221,963.75

If the quotient is a whole number, then 4 and 221,963.75 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:

1 887,855
-1 887,855
Keep dividing by the next highest number until you cannot divide anymore.

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

154161712053053552,5012,9114,33112,50514,55521,655177,571887,855
-1-5-41-61-71-205-305-355-2,501-2,911-4,331-12,505-14,555-21,655-177,571-887,855

More Examples

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