Q: What are the factor combinations of the number 888,835?

 A:
Positive:   1 x 8888355 x 17776723 x 3864559 x 15065115 x 7729131 x 6785295 x 3013655 x 1357
Negative: -1 x -888835-5 x -177767-23 x -38645-59 x -15065-115 x -7729-131 x -6785-295 x -3013-655 x -1357


How do I find the factor combinations of the number 888,835?

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 888,835, 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.

1 888,835
-1 -888,835

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 888,835.

Example:
1 x 888,835 = 888,835
and
-1 x -888,835 = 888,835
Notice both answers equal 888,835

With that explanation out of the way, let's continue. Next, we take the number 888,835 and divide it by 2:

888,835 ÷ 2 = 444,417.5

If the quotient is a whole number, then 2 and 444,417.5 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:

1 888,835
-1 -888,835

Now, we try dividing 888,835 by 3:

888,835 ÷ 3 = 296,278.3333

If the quotient is a whole number, then 3 and 296,278.3333 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:

1 888,835
-1 -888,835

Let's try dividing by 4:

888,835 ÷ 4 = 222,208.75

If the quotient is a whole number, then 4 and 222,208.75 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:

1 888,835
-1 888,835
Keep dividing by the next highest number until you cannot divide anymore.

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

1523591151312956551,3573,0136,7857,72915,06538,645177,767888,835
-1-5-23-59-115-131-295-655-1,357-3,013-6,785-7,729-15,065-38,645-177,767-888,835

More Examples

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