Q: What are the factor combinations of the number 4,004,755?

 A:
Positive:   1 x 40047555 x 80095129 x 13809571 x 56405145 x 27619355 x 11281389 x 102951945 x 2059
Negative: -1 x -4004755-5 x -800951-29 x -138095-71 x -56405-145 x -27619-355 x -11281-389 x -10295-1945 x -2059


How do I find the factor combinations of the number 4,004,755?

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 4,004,755, 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 4,004,755
-1 -4,004,755

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 4,004,755.

Example:
1 x 4,004,755 = 4,004,755
and
-1 x -4,004,755 = 4,004,755
Notice both answers equal 4,004,755

With that explanation out of the way, let's continue. Next, we take the number 4,004,755 and divide it by 2:

4,004,755 ÷ 2 = 2,002,377.5

If the quotient is a whole number, then 2 and 2,002,377.5 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 4,004,755
-1 -4,004,755

Now, we try dividing 4,004,755 by 3:

4,004,755 ÷ 3 = 1,334,918.3333

If the quotient is a whole number, then 3 and 1,334,918.3333 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 4,004,755
-1 -4,004,755

Let's try dividing by 4:

4,004,755 ÷ 4 = 1,001,188.75

If the quotient is a whole number, then 4 and 1,001,188.75 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 4,004,755
-1 4,004,755
Keep dividing by the next highest number until you cannot divide anymore.

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

1529711453553891,9452,05910,29511,28127,61956,405138,095800,9514,004,755
-1-5-29-71-145-355-389-1,945-2,059-10,295-11,281-27,619-56,405-138,095-800,951-4,004,755

More Examples

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