Q: What are the factor combinations of the number 3,231,943?

 A:
Positive:   1 x 323194311 x 29381313 x 24861197 x 33319143 x 22601233 x 138711067 x 30291261 x 2563
Negative: -1 x -3231943-11 x -293813-13 x -248611-97 x -33319-143 x -22601-233 x -13871-1067 x -3029-1261 x -2563


How do I find the factor combinations of the number 3,231,943?

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 3,231,943, 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 3,231,943
-1 -3,231,943

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 3,231,943.

Example:
1 x 3,231,943 = 3,231,943
and
-1 x -3,231,943 = 3,231,943
Notice both answers equal 3,231,943

With that explanation out of the way, let's continue. Next, we take the number 3,231,943 and divide it by 2:

3,231,943 ÷ 2 = 1,615,971.5

If the quotient is a whole number, then 2 and 1,615,971.5 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 3,231,943
-1 -3,231,943

Now, we try dividing 3,231,943 by 3:

3,231,943 ÷ 3 = 1,077,314.3333

If the quotient is a whole number, then 3 and 1,077,314.3333 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 3,231,943
-1 -3,231,943

Let's try dividing by 4:

3,231,943 ÷ 4 = 807,985.75

If the quotient is a whole number, then 4 and 807,985.75 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 3,231,943
-1 3,231,943
Keep dividing by the next highest number until you cannot divide anymore.

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

11113971432331,0671,2612,5633,02913,87122,60133,319248,611293,8133,231,943
-1-11-13-97-143-233-1,067-1,261-2,563-3,029-13,871-22,601-33,319-248,611-293,813-3,231,943

More Examples

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