Q: What are the factor combinations of the number 306,371,375?

 A:
Positive:   1 x 3063713755 x 6127427525 x 1225485589 x 3442375125 x 2450971445 x 6884752225 x 13769511125 x 27539
Negative: -1 x -306371375-5 x -61274275-25 x -12254855-89 x -3442375-125 x -2450971-445 x -688475-2225 x -137695-11125 x -27539


How do I find the factor combinations of the number 306,371,375?

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 306,371,375, 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.

1 306,371,375
-1 -306,371,375

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 306,371,375.

Example:
1 x 306,371,375 = 306,371,375
and
-1 x -306,371,375 = 306,371,375
Notice both answers equal 306,371,375

With that explanation out of the way, let's continue. Next, we take the number 306,371,375 and divide it by 2:

306,371,375 ÷ 2 = 153,185,687.5

If the quotient is a whole number, then 2 and 153,185,687.5 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:

1 306,371,375
-1 -306,371,375

Now, we try dividing 306,371,375 by 3:

306,371,375 ÷ 3 = 102,123,791.6667

If the quotient is a whole number, then 3 and 102,123,791.6667 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:

1 306,371,375
-1 -306,371,375

Let's try dividing by 4:

306,371,375 ÷ 4 = 76,592,843.75

If the quotient is a whole number, then 4 and 76,592,843.75 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:

1 306,371,375
-1 306,371,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525891254452,22511,12527,539137,695688,4752,450,9713,442,37512,254,85561,274,275306,371,375
-1-5-25-89-125-445-2,225-11,125-27,539-137,695-688,475-2,450,971-3,442,375-12,254,855-61,274,275-306,371,375

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