Q: What are the factor combinations of the number 42,725,075?

 A:
Positive:   1 x 427250755 x 854501525 x 170900341 x 104207573 x 585275205 x 208415365 x 117055571 x 748251025 x 416831825 x 234112855 x 149652993 x 14275
Negative: -1 x -42725075-5 x -8545015-25 x -1709003-41 x -1042075-73 x -585275-205 x -208415-365 x -117055-571 x -74825-1025 x -41683-1825 x -23411-2855 x -14965-2993 x -14275


How do I find the factor combinations of the number 42,725,075?

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 42,725,075, 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 42,725,075
-1 -42,725,075

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 42,725,075.

Example:
1 x 42,725,075 = 42,725,075
and
-1 x -42,725,075 = 42,725,075
Notice both answers equal 42,725,075

With that explanation out of the way, let's continue. Next, we take the number 42,725,075 and divide it by 2:

42,725,075 ÷ 2 = 21,362,537.5

If the quotient is a whole number, then 2 and 21,362,537.5 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 42,725,075
-1 -42,725,075

Now, we try dividing 42,725,075 by 3:

42,725,075 ÷ 3 = 14,241,691.6667

If the quotient is a whole number, then 3 and 14,241,691.6667 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 42,725,075
-1 -42,725,075

Let's try dividing by 4:

42,725,075 ÷ 4 = 10,681,268.75

If the quotient is a whole number, then 4 and 10,681,268.75 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 42,725,075
-1 42,725,075
Keep dividing by the next highest number until you cannot divide anymore.

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

152541732053655711,0251,8252,8552,99314,27514,96523,41141,68374,825117,055208,415585,2751,042,0751,709,0038,545,01542,725,075
-1-5-25-41-73-205-365-571-1,025-1,825-2,855-2,993-14,275-14,965-23,411-41,683-74,825-117,055-208,415-585,275-1,042,075-1,709,003-8,545,015-42,725,075

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