Q: What are the factor combinations of the number 1,032,845?

 A:
Positive:   1 x 10328455 x 20656911 x 9389555 x 1877989 x 11605211 x 4895445 x 2321979 x 1055
Negative: -1 x -1032845-5 x -206569-11 x -93895-55 x -18779-89 x -11605-211 x -4895-445 x -2321-979 x -1055


How do I find the factor combinations of the number 1,032,845?

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 1,032,845, 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 1,032,845
-1 -1,032,845

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 1,032,845.

Example:
1 x 1,032,845 = 1,032,845
and
-1 x -1,032,845 = 1,032,845
Notice both answers equal 1,032,845

With that explanation out of the way, let's continue. Next, we take the number 1,032,845 and divide it by 2:

1,032,845 ÷ 2 = 516,422.5

If the quotient is a whole number, then 2 and 516,422.5 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 1,032,845
-1 -1,032,845

Now, we try dividing 1,032,845 by 3:

1,032,845 ÷ 3 = 344,281.6667

If the quotient is a whole number, then 3 and 344,281.6667 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 1,032,845
-1 -1,032,845

Let's try dividing by 4:

1,032,845 ÷ 4 = 258,211.25

If the quotient is a whole number, then 4 and 258,211.25 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 1,032,845
-1 1,032,845
Keep dividing by the next highest number until you cannot divide anymore.

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

151155892114459791,0552,3214,89511,60518,77993,895206,5691,032,845
-1-5-11-55-89-211-445-979-1,055-2,321-4,895-11,605-18,779-93,895-206,569-1,032,845

More Examples

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