Q: What are the factor combinations of the number 323,675?

 A:
Positive:   1 x 3236755 x 6473511 x 2942525 x 1294755 x 5885107 x 3025121 x 2675275 x 1177535 x 605
Negative: -1 x -323675-5 x -64735-11 x -29425-25 x -12947-55 x -5885-107 x -3025-121 x -2675-275 x -1177-535 x -605


How do I find the factor combinations of the number 323,675?

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 323,675, 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.

1 323,675
-1 -323,675

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 323,675.

Example:
1 x 323,675 = 323,675
and
-1 x -323,675 = 323,675
Notice both answers equal 323,675

With that explanation out of the way, let's continue. Next, we take the number 323,675 and divide it by 2:

323,675 ÷ 2 = 161,837.5

If the quotient is a whole number, then 2 and 161,837.5 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:

1 323,675
-1 -323,675

Now, we try dividing 323,675 by 3:

323,675 ÷ 3 = 107,891.6667

If the quotient is a whole number, then 3 and 107,891.6667 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:

1 323,675
-1 -323,675

Let's try dividing by 4:

323,675 ÷ 4 = 80,918.75

If the quotient is a whole number, then 4 and 80,918.75 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:

1 323,675
-1 323,675
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551071212755356051,1772,6753,0255,88512,94729,42564,735323,675
-1-5-11-25-55-107-121-275-535-605-1,177-2,675-3,025-5,885-12,947-29,425-64,735-323,675

More Examples

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