Q: What are the factor combinations of the number 41,575,375?

 A:
Positive:   1 x 415753755 x 831507523 x 180762525 x 1663015115 x 361525125 x 332603575 x 723052875 x 14461
Negative: -1 x -41575375-5 x -8315075-23 x -1807625-25 x -1663015-115 x -361525-125 x -332603-575 x -72305-2875 x -14461


How do I find the factor combinations of the number 41,575,375?

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 41,575,375, 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 41,575,375
-1 -41,575,375

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 41,575,375.

Example:
1 x 41,575,375 = 41,575,375
and
-1 x -41,575,375 = 41,575,375
Notice both answers equal 41,575,375

With that explanation out of the way, let's continue. Next, we take the number 41,575,375 and divide it by 2:

41,575,375 ÷ 2 = 20,787,687.5

If the quotient is a whole number, then 2 and 20,787,687.5 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 41,575,375
-1 -41,575,375

Now, we try dividing 41,575,375 by 3:

41,575,375 ÷ 3 = 13,858,458.3333

If the quotient is a whole number, then 3 and 13,858,458.3333 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 41,575,375
-1 -41,575,375

Let's try dividing by 4:

41,575,375 ÷ 4 = 10,393,843.75

If the quotient is a whole number, then 4 and 10,393,843.75 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 41,575,375
-1 41,575,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251151255752,87514,46172,305332,603361,5251,663,0151,807,6258,315,07541,575,375
-1-5-23-25-115-125-575-2,875-14,461-72,305-332,603-361,525-1,663,015-1,807,625-8,315,075-41,575,375

More Examples

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