Q: What are the factor combinations of the number 307,234,085?

 A:
Positive:   1 x 3072340855 x 6144681719 x 1617021595 x 3234043157 x 1956905785 x 3913812983 x 10299514915 x 20599
Negative: -1 x -307234085-5 x -61446817-19 x -16170215-95 x -3234043-157 x -1956905-785 x -391381-2983 x -102995-14915 x -20599


How do I find the factor combinations of the number 307,234,085?

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 307,234,085, 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.

1 307,234,085
-1 -307,234,085

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 307,234,085.

Example:
1 x 307,234,085 = 307,234,085
and
-1 x -307,234,085 = 307,234,085
Notice both answers equal 307,234,085

With that explanation out of the way, let's continue. Next, we take the number 307,234,085 and divide it by 2:

307,234,085 ÷ 2 = 153,617,042.5

If the quotient is a whole number, then 2 and 153,617,042.5 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:

1 307,234,085
-1 -307,234,085

Now, we try dividing 307,234,085 by 3:

307,234,085 ÷ 3 = 102,411,361.6667

If the quotient is a whole number, then 3 and 102,411,361.6667 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:

1 307,234,085
-1 -307,234,085

Let's try dividing by 4:

307,234,085 ÷ 4 = 76,808,521.25

If the quotient is a whole number, then 4 and 76,808,521.25 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:

1 307,234,085
-1 307,234,085
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951577852,98314,91520,599102,995391,3811,956,9053,234,04316,170,21561,446,817307,234,085
-1-5-19-95-157-785-2,983-14,915-20,599-102,995-391,381-1,956,905-3,234,043-16,170,215-61,446,817-307,234,085

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