Q: What are the factor combinations of the number 899,999?

 A:
Positive:   1 x 899999397 x 2267
Negative: -1 x -899999-397 x -2267


How do I find the factor combinations of the number 899,999?

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 899,999, 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.

1 899,999
-1 -899,999

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 899,999.

Example:
1 x 899,999 = 899,999
and
-1 x -899,999 = 899,999
Notice both answers equal 899,999

With that explanation out of the way, let's continue. Next, we take the number 899,999 and divide it by 2:

899,999 ÷ 2 = 449,999.5

If the quotient is a whole number, then 2 and 449,999.5 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:

1 899,999
-1 -899,999

Now, we try dividing 899,999 by 3:

899,999 ÷ 3 = 299,999.6667

If the quotient is a whole number, then 3 and 299,999.6667 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:

1 899,999
-1 -899,999

Let's try dividing by 4:

899,999 ÷ 4 = 224,999.75

If the quotient is a whole number, then 4 and 224,999.75 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:

1 899,999
-1 899,999
Keep dividing by the next highest number until you cannot divide anymore.

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

13972,267899,999
-1-397-2,267-899,999

More Examples

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