Q: What are the factor combinations of the number 307,407,683?

 A:
Positive:   1 x 30740768311 x 2794615347 x 6540589107 x 2872969517 x 5945991177 x 2611795029 x 611275557 x 55319
Negative: -1 x -307407683-11 x -27946153-47 x -6540589-107 x -2872969-517 x -594599-1177 x -261179-5029 x -61127-5557 x -55319


How do I find the factor combinations of the number 307,407,683?

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 307,407,683, 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.

1 307,407,683
-1 -307,407,683

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 307,407,683.

Example:
1 x 307,407,683 = 307,407,683
and
-1 x -307,407,683 = 307,407,683
Notice both answers equal 307,407,683

With that explanation out of the way, let's continue. Next, we take the number 307,407,683 and divide it by 2:

307,407,683 ÷ 2 = 153,703,841.5

If the quotient is a whole number, then 2 and 153,703,841.5 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:

1 307,407,683
-1 -307,407,683

Now, we try dividing 307,407,683 by 3:

307,407,683 ÷ 3 = 102,469,227.6667

If the quotient is a whole number, then 3 and 102,469,227.6667 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:

1 307,407,683
-1 -307,407,683

Let's try dividing by 4:

307,407,683 ÷ 4 = 76,851,920.75

If the quotient is a whole number, then 4 and 76,851,920.75 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:

1 307,407,683
-1 307,407,683
Keep dividing by the next highest number until you cannot divide anymore.

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

111471075171,1775,0295,55755,31961,127261,179594,5992,872,9696,540,58927,946,153307,407,683
-1-11-47-107-517-1,177-5,029-5,557-55,319-61,127-261,179-594,599-2,872,969-6,540,589-27,946,153-307,407,683

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