Q: What are the factor combinations of the number 230,308,379?

 A:
Positive:   1 x 2303083797 x 3290119749 x 4700171223 x 1032773343 x 6714531561 x 1475393011 x 7648910927 x 21077
Negative: -1 x -230308379-7 x -32901197-49 x -4700171-223 x -1032773-343 x -671453-1561 x -147539-3011 x -76489-10927 x -21077


How do I find the factor combinations of the number 230,308,379?

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 230,308,379, 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.

1 230,308,379
-1 -230,308,379

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 230,308,379.

Example:
1 x 230,308,379 = 230,308,379
and
-1 x -230,308,379 = 230,308,379
Notice both answers equal 230,308,379

With that explanation out of the way, let's continue. Next, we take the number 230,308,379 and divide it by 2:

230,308,379 ÷ 2 = 115,154,189.5

If the quotient is a whole number, then 2 and 115,154,189.5 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:

1 230,308,379
-1 -230,308,379

Now, we try dividing 230,308,379 by 3:

230,308,379 ÷ 3 = 76,769,459.6667

If the quotient is a whole number, then 3 and 76,769,459.6667 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:

1 230,308,379
-1 -230,308,379

Let's try dividing by 4:

230,308,379 ÷ 4 = 57,577,094.75

If the quotient is a whole number, then 4 and 57,577,094.75 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:

1 230,308,379
-1 230,308,379
Keep dividing by the next highest number until you cannot divide anymore.

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

17492233431,5613,01110,92721,07776,489147,539671,4531,032,7734,700,17132,901,197230,308,379
-1-7-49-223-343-1,561-3,011-10,927-21,077-76,489-147,539-671,453-1,032,773-4,700,171-32,901,197-230,308,379

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