Q: What are the factor combinations of the number 1,199,809?

 A:
Positive:   1 x 119980913 x 9229317 x 7057761 x 1966989 x 13481221 x 5429793 x 15131037 x 1157
Negative: -1 x -1199809-13 x -92293-17 x -70577-61 x -19669-89 x -13481-221 x -5429-793 x -1513-1037 x -1157


How do I find the factor combinations of the number 1,199,809?

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 1,199,809, 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 1,199,809
-1 -1,199,809

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 1,199,809.

Example:
1 x 1,199,809 = 1,199,809
and
-1 x -1,199,809 = 1,199,809
Notice both answers equal 1,199,809

With that explanation out of the way, let's continue. Next, we take the number 1,199,809 and divide it by 2:

1,199,809 ÷ 2 = 599,904.5

If the quotient is a whole number, then 2 and 599,904.5 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 1,199,809
-1 -1,199,809

Now, we try dividing 1,199,809 by 3:

1,199,809 ÷ 3 = 399,936.3333

If the quotient is a whole number, then 3 and 399,936.3333 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 1,199,809
-1 -1,199,809

Let's try dividing by 4:

1,199,809 ÷ 4 = 299,952.25

If the quotient is a whole number, then 4 and 299,952.25 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 1,199,809
-1 1,199,809
Keep dividing by the next highest number until you cannot divide anymore.

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

1131761892217931,0371,1571,5135,42913,48119,66970,57792,2931,199,809
-1-13-17-61-89-221-793-1,037-1,157-1,513-5,429-13,481-19,669-70,577-92,293-1,199,809

More Examples

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