Q: What are the factor combinations of the number 307,501,075?

 A:
Positive:   1 x 3075010755 x 615002157 x 4392872525 x 1230004335 x 8785745175 x 1757149761 x 4040752309 x 1331753805 x 808155327 x 5772511545 x 2663516163 x 19025
Negative: -1 x -307501075-5 x -61500215-7 x -43928725-25 x -12300043-35 x -8785745-175 x -1757149-761 x -404075-2309 x -133175-3805 x -80815-5327 x -57725-11545 x -26635-16163 x -19025


How do I find the factor combinations of the number 307,501,075?

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 307,501,075, 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.

1 307,501,075
-1 -307,501,075

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 307,501,075.

Example:
1 x 307,501,075 = 307,501,075
and
-1 x -307,501,075 = 307,501,075
Notice both answers equal 307,501,075

With that explanation out of the way, let's continue. Next, we take the number 307,501,075 and divide it by 2:

307,501,075 ÷ 2 = 153,750,537.5

If the quotient is a whole number, then 2 and 153,750,537.5 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:

1 307,501,075
-1 -307,501,075

Now, we try dividing 307,501,075 by 3:

307,501,075 ÷ 3 = 102,500,358.3333

If the quotient is a whole number, then 3 and 102,500,358.3333 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:

1 307,501,075
-1 -307,501,075

Let's try dividing by 4:

307,501,075 ÷ 4 = 76,875,268.75

If the quotient is a whole number, then 4 and 76,875,268.75 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:

1 307,501,075
-1 307,501,075
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351757612,3093,8055,32711,54516,16319,02526,63557,72580,815133,175404,0751,757,1498,785,74512,300,04343,928,72561,500,215307,501,075
-1-5-7-25-35-175-761-2,309-3,805-5,327-11,545-16,163-19,025-26,635-57,725-80,815-133,175-404,075-1,757,149-8,785,745-12,300,043-43,928,725-61,500,215-307,501,075

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