Q: What are the factor combinations of the number 1,083,643?

 A:
Positive:   1 x 108364311 x 9851329 x 3736743 x 2520179 x 13717319 x 3397473 x 2291869 x 1247
Negative: -1 x -1083643-11 x -98513-29 x -37367-43 x -25201-79 x -13717-319 x -3397-473 x -2291-869 x -1247


How do I find the factor combinations of the number 1,083,643?

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 1,083,643, 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 1,083,643
-1 -1,083,643

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 1,083,643.

Example:
1 x 1,083,643 = 1,083,643
and
-1 x -1,083,643 = 1,083,643
Notice both answers equal 1,083,643

With that explanation out of the way, let's continue. Next, we take the number 1,083,643 and divide it by 2:

1,083,643 ÷ 2 = 541,821.5

If the quotient is a whole number, then 2 and 541,821.5 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 1,083,643
-1 -1,083,643

Now, we try dividing 1,083,643 by 3:

1,083,643 ÷ 3 = 361,214.3333

If the quotient is a whole number, then 3 and 361,214.3333 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 1,083,643
-1 -1,083,643

Let's try dividing by 4:

1,083,643 ÷ 4 = 270,910.75

If the quotient is a whole number, then 4 and 270,910.75 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 1,083,643
-1 1,083,643
Keep dividing by the next highest number until you cannot divide anymore.

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

1112943793194738691,2472,2913,39713,71725,20137,36798,5131,083,643
-1-11-29-43-79-319-473-869-1,247-2,291-3,397-13,717-25,201-37,367-98,513-1,083,643

More Examples

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