Q: What are the factor combinations of the number 40,043,375?

 A:
Positive:   1 x 400433755 x 800867525 x 1601735125 x 320347563 x 71125569 x 703752815 x 142252845 x 14075
Negative: -1 x -40043375-5 x -8008675-25 x -1601735-125 x -320347-563 x -71125-569 x -70375-2815 x -14225-2845 x -14075


How do I find the factor combinations of the number 40,043,375?

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 40,043,375, 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 40,043,375
-1 -40,043,375

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 40,043,375.

Example:
1 x 40,043,375 = 40,043,375
and
-1 x -40,043,375 = 40,043,375
Notice both answers equal 40,043,375

With that explanation out of the way, let's continue. Next, we take the number 40,043,375 and divide it by 2:

40,043,375 ÷ 2 = 20,021,687.5

If the quotient is a whole number, then 2 and 20,021,687.5 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 40,043,375
-1 -40,043,375

Now, we try dividing 40,043,375 by 3:

40,043,375 ÷ 3 = 13,347,791.6667

If the quotient is a whole number, then 3 and 13,347,791.6667 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 40,043,375
-1 -40,043,375

Let's try dividing by 4:

40,043,375 ÷ 4 = 10,010,843.75

If the quotient is a whole number, then 4 and 10,010,843.75 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 40,043,375
-1 40,043,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251255635692,8152,84514,07514,22570,37571,125320,3471,601,7358,008,67540,043,375
-1-5-25-125-563-569-2,815-2,845-14,075-14,225-70,375-71,125-320,347-1,601,735-8,008,675-40,043,375

More Examples

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