Q: What are the factor combinations of the number 1,109,999?

 A:
Positive:   1 x 110999911 x 10090919 x 5842147 x 23617113 x 9823209 x 5311517 x 2147893 x 1243
Negative: -1 x -1109999-11 x -100909-19 x -58421-47 x -23617-113 x -9823-209 x -5311-517 x -2147-893 x -1243


How do I find the factor combinations of the number 1,109,999?

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 1,109,999, 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 1,109,999
-1 -1,109,999

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 1,109,999.

Example:
1 x 1,109,999 = 1,109,999
and
-1 x -1,109,999 = 1,109,999
Notice both answers equal 1,109,999

With that explanation out of the way, let's continue. Next, we take the number 1,109,999 and divide it by 2:

1,109,999 ÷ 2 = 554,999.5

If the quotient is a whole number, then 2 and 554,999.5 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 1,109,999
-1 -1,109,999

Now, we try dividing 1,109,999 by 3:

1,109,999 ÷ 3 = 369,999.6667

If the quotient is a whole number, then 3 and 369,999.6667 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 1,109,999
-1 -1,109,999

Let's try dividing by 4:

1,109,999 ÷ 4 = 277,499.75

If the quotient is a whole number, then 4 and 277,499.75 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 1,109,999
-1 1,109,999
Keep dividing by the next highest number until you cannot divide anymore.

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

11119471132095178931,2432,1475,3119,82323,61758,421100,9091,109,999
-1-11-19-47-113-209-517-893-1,243-2,147-5,311-9,823-23,617-58,421-100,909-1,109,999

More Examples

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