Q: What are the factor combinations of the number 104,232,323?

 A:
Positive:   1 x 10423232313 x 801787131 x 336233347 x 2217709403 x 258641611 x 1705931457 x 715395503 x 18941
Negative: -1 x -104232323-13 x -8017871-31 x -3362333-47 x -2217709-403 x -258641-611 x -170593-1457 x -71539-5503 x -18941


How do I find the factor combinations of the number 104,232,323?

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 104,232,323, 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.

1 104,232,323
-1 -104,232,323

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 104,232,323.

Example:
1 x 104,232,323 = 104,232,323
and
-1 x -104,232,323 = 104,232,323
Notice both answers equal 104,232,323

With that explanation out of the way, let's continue. Next, we take the number 104,232,323 and divide it by 2:

104,232,323 ÷ 2 = 52,116,161.5

If the quotient is a whole number, then 2 and 52,116,161.5 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:

1 104,232,323
-1 -104,232,323

Now, we try dividing 104,232,323 by 3:

104,232,323 ÷ 3 = 34,744,107.6667

If the quotient is a whole number, then 3 and 34,744,107.6667 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:

1 104,232,323
-1 -104,232,323

Let's try dividing by 4:

104,232,323 ÷ 4 = 26,058,080.75

If the quotient is a whole number, then 4 and 26,058,080.75 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:

1 104,232,323
-1 104,232,323
Keep dividing by the next highest number until you cannot divide anymore.

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

11331474036111,4575,50318,94171,539170,593258,6412,217,7093,362,3338,017,871104,232,323
-1-13-31-47-403-611-1,457-5,503-18,941-71,539-170,593-258,641-2,217,709-3,362,333-8,017,871-104,232,323

More Examples

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