Q: What are the factor combinations of the number 302,012,327?

 A:
Positive:   1 x 30201232717 x 1776543159 x 5118853353 x 855559853 x 3540591003 x 3011096001 x 5032714501 x 20827
Negative: -1 x -302012327-17 x -17765431-59 x -5118853-353 x -855559-853 x -354059-1003 x -301109-6001 x -50327-14501 x -20827


How do I find the factor combinations of the number 302,012,327?

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 302,012,327, 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.

1 302,012,327
-1 -302,012,327

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 302,012,327.

Example:
1 x 302,012,327 = 302,012,327
and
-1 x -302,012,327 = 302,012,327
Notice both answers equal 302,012,327

With that explanation out of the way, let's continue. Next, we take the number 302,012,327 and divide it by 2:

302,012,327 ÷ 2 = 151,006,163.5

If the quotient is a whole number, then 2 and 151,006,163.5 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:

1 302,012,327
-1 -302,012,327

Now, we try dividing 302,012,327 by 3:

302,012,327 ÷ 3 = 100,670,775.6667

If the quotient is a whole number, then 3 and 100,670,775.6667 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:

1 302,012,327
-1 -302,012,327

Let's try dividing by 4:

302,012,327 ÷ 4 = 75,503,081.75

If the quotient is a whole number, then 4 and 75,503,081.75 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:

1 302,012,327
-1 302,012,327
Keep dividing by the next highest number until you cannot divide anymore.

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

117593538531,0036,00114,50120,82750,327301,109354,059855,5595,118,85317,765,431302,012,327
-1-17-59-353-853-1,003-6,001-14,501-20,827-50,327-301,109-354,059-855,559-5,118,853-17,765,431-302,012,327

More Examples

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