Q: What are the factor combinations of the number 1,232,993?

 A:
Positive:   1 x 123299317 x 7252929 x 4251741 x 3007361 x 20213493 x 2501697 x 17691037 x 1189
Negative: -1 x -1232993-17 x -72529-29 x -42517-41 x -30073-61 x -20213-493 x -2501-697 x -1769-1037 x -1189


How do I find the factor combinations of the number 1,232,993?

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 1,232,993, 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 1,232,993
-1 -1,232,993

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 1,232,993.

Example:
1 x 1,232,993 = 1,232,993
and
-1 x -1,232,993 = 1,232,993
Notice both answers equal 1,232,993

With that explanation out of the way, let's continue. Next, we take the number 1,232,993 and divide it by 2:

1,232,993 ÷ 2 = 616,496.5

If the quotient is a whole number, then 2 and 616,496.5 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 1,232,993
-1 -1,232,993

Now, we try dividing 1,232,993 by 3:

1,232,993 ÷ 3 = 410,997.6667

If the quotient is a whole number, then 3 and 410,997.6667 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 1,232,993
-1 -1,232,993

Let's try dividing by 4:

1,232,993 ÷ 4 = 308,248.25

If the quotient is a whole number, then 4 and 308,248.25 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 1,232,993
-1 1,232,993
Keep dividing by the next highest number until you cannot divide anymore.

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

1172941614936971,0371,1891,7692,50120,21330,07342,51772,5291,232,993
-1-17-29-41-61-493-697-1,037-1,189-1,769-2,501-20,213-30,073-42,517-72,529-1,232,993

More Examples

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