Q: What are the factor combinations of the number 323,852,215?

 A:
Positive:   1 x 3238522155 x 64770443773 x 4189553865 x 83791
Negative: -1 x -323852215-5 x -64770443-773 x -418955-3865 x -83791


How do I find the factor combinations of the number 323,852,215?

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 323,852,215, 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.

1 323,852,215
-1 -323,852,215

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 323,852,215.

Example:
1 x 323,852,215 = 323,852,215
and
-1 x -323,852,215 = 323,852,215
Notice both answers equal 323,852,215

With that explanation out of the way, let's continue. Next, we take the number 323,852,215 and divide it by 2:

323,852,215 ÷ 2 = 161,926,107.5

If the quotient is a whole number, then 2 and 161,926,107.5 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:

1 323,852,215
-1 -323,852,215

Now, we try dividing 323,852,215 by 3:

323,852,215 ÷ 3 = 107,950,738.3333

If the quotient is a whole number, then 3 and 107,950,738.3333 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:

1 323,852,215
-1 -323,852,215

Let's try dividing by 4:

323,852,215 ÷ 4 = 80,963,053.75

If the quotient is a whole number, then 4 and 80,963,053.75 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:

1 323,852,215
-1 323,852,215
Keep dividing by the next highest number until you cannot divide anymore.

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

157733,86583,791418,95564,770,443323,852,215
-1-5-773-3,865-83,791-418,955-64,770,443-323,852,215

More Examples

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