Q: What are the factor combinations of the number 323,103,443?

 A:
Positive:   1 x 32310344313 x 2485411179 x 4089917197 x 16401191027 x 3146091597 x 2023192561 x 12616315563 x 20761
Negative: -1 x -323103443-13 x -24854111-79 x -4089917-197 x -1640119-1027 x -314609-1597 x -202319-2561 x -126163-15563 x -20761


How do I find the factor combinations of the number 323,103,443?

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 323,103,443, 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.

1 323,103,443
-1 -323,103,443

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 323,103,443.

Example:
1 x 323,103,443 = 323,103,443
and
-1 x -323,103,443 = 323,103,443
Notice both answers equal 323,103,443

With that explanation out of the way, let's continue. Next, we take the number 323,103,443 and divide it by 2:

323,103,443 ÷ 2 = 161,551,721.5

If the quotient is a whole number, then 2 and 161,551,721.5 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:

1 323,103,443
-1 -323,103,443

Now, we try dividing 323,103,443 by 3:

323,103,443 ÷ 3 = 107,701,147.6667

If the quotient is a whole number, then 3 and 107,701,147.6667 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:

1 323,103,443
-1 -323,103,443

Let's try dividing by 4:

323,103,443 ÷ 4 = 80,775,860.75

If the quotient is a whole number, then 4 and 80,775,860.75 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:

1 323,103,443
-1 323,103,443
Keep dividing by the next highest number until you cannot divide anymore.

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

113791971,0271,5972,56115,56320,761126,163202,319314,6091,640,1194,089,91724,854,111323,103,443
-1-13-79-197-1,027-1,597-2,561-15,563-20,761-126,163-202,319-314,609-1,640,119-4,089,917-24,854,111-323,103,443

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