Q: What are the factor combinations of the number 1,327,067?

 A:
Positive:   1 x 13270677 x 18958149 x 2708353 x 2503973 x 18179343 x 3869371 x 3577511 x 2597
Negative: -1 x -1327067-7 x -189581-49 x -27083-53 x -25039-73 x -18179-343 x -3869-371 x -3577-511 x -2597


How do I find the factor combinations of the number 1,327,067?

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 1,327,067, 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 1,327,067
-1 -1,327,067

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 1,327,067.

Example:
1 x 1,327,067 = 1,327,067
and
-1 x -1,327,067 = 1,327,067
Notice both answers equal 1,327,067

With that explanation out of the way, let's continue. Next, we take the number 1,327,067 and divide it by 2:

1,327,067 ÷ 2 = 663,533.5

If the quotient is a whole number, then 2 and 663,533.5 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 1,327,067
-1 -1,327,067

Now, we try dividing 1,327,067 by 3:

1,327,067 ÷ 3 = 442,355.6667

If the quotient is a whole number, then 3 and 442,355.6667 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 1,327,067
-1 -1,327,067

Let's try dividing by 4:

1,327,067 ÷ 4 = 331,766.75

If the quotient is a whole number, then 4 and 331,766.75 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 1,327,067
-1 1,327,067
Keep dividing by the next highest number until you cannot divide anymore.

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

174953733433715112,5973,5773,86918,17925,03927,083189,5811,327,067
-1-7-49-53-73-343-371-511-2,597-3,577-3,869-18,179-25,039-27,083-189,581-1,327,067

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