Q: What are the factor combinations of the number 323,314,243?

 A:
Positive:   1 x 3233142437 x 4618774923 x 1405714129 x 11148767161 x 2008163203 x 1592681667 x 4847294669 x 69247
Negative: -1 x -323314243-7 x -46187749-23 x -14057141-29 x -11148767-161 x -2008163-203 x -1592681-667 x -484729-4669 x -69247


How do I find the factor combinations of the number 323,314,243?

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 323,314,243, 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.

1 323,314,243
-1 -323,314,243

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 323,314,243.

Example:
1 x 323,314,243 = 323,314,243
and
-1 x -323,314,243 = 323,314,243
Notice both answers equal 323,314,243

With that explanation out of the way, let's continue. Next, we take the number 323,314,243 and divide it by 2:

323,314,243 ÷ 2 = 161,657,121.5

If the quotient is a whole number, then 2 and 161,657,121.5 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:

1 323,314,243
-1 -323,314,243

Now, we try dividing 323,314,243 by 3:

323,314,243 ÷ 3 = 107,771,414.3333

If the quotient is a whole number, then 3 and 107,771,414.3333 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:

1 323,314,243
-1 -323,314,243

Let's try dividing by 4:

323,314,243 ÷ 4 = 80,828,560.75

If the quotient is a whole number, then 4 and 80,828,560.75 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:

1 323,314,243
-1 323,314,243
Keep dividing by the next highest number until you cannot divide anymore.

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

1723291612036674,66969,247484,7291,592,6812,008,16311,148,76714,057,14146,187,749323,314,243
-1-7-23-29-161-203-667-4,669-69,247-484,729-1,592,681-2,008,163-11,148,767-14,057,141-46,187,749-323,314,243

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