Q: What are the factor combinations of the number 4,004,375?

 A:
Positive:   1 x 40043755 x 80087525 x 16017543 x 93125125 x 32035149 x 26875215 x 18625625 x 6407745 x 53751075 x 3725
Negative: -1 x -4004375-5 x -800875-25 x -160175-43 x -93125-125 x -32035-149 x -26875-215 x -18625-625 x -6407-745 x -5375-1075 x -3725


How do I find the factor combinations of the number 4,004,375?

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 4,004,375, 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 4,004,375
-1 -4,004,375

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 4,004,375.

Example:
1 x 4,004,375 = 4,004,375
and
-1 x -4,004,375 = 4,004,375
Notice both answers equal 4,004,375

With that explanation out of the way, let's continue. Next, we take the number 4,004,375 and divide it by 2:

4,004,375 ÷ 2 = 2,002,187.5

If the quotient is a whole number, then 2 and 2,002,187.5 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 4,004,375
-1 -4,004,375

Now, we try dividing 4,004,375 by 3:

4,004,375 ÷ 3 = 1,334,791.6667

If the quotient is a whole number, then 3 and 1,334,791.6667 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 4,004,375
-1 -4,004,375

Let's try dividing by 4:

4,004,375 ÷ 4 = 1,001,093.75

If the quotient is a whole number, then 4 and 1,001,093.75 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 4,004,375
-1 4,004,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525431251492156257451,0753,7255,3756,40718,62526,87532,03593,125160,175800,8754,004,375
-1-5-25-43-125-149-215-625-745-1,075-3,725-5,375-6,407-18,625-26,875-32,035-93,125-160,175-800,875-4,004,375

More Examples

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