Q: What are the factor combinations of the number 5,002,855?

 A:
Positive:   1 x 50028555 x 100057111 x 45480513 x 38483555 x 9096165 x 76967143 x 34985715 x 6997
Negative: -1 x -5002855-5 x -1000571-11 x -454805-13 x -384835-55 x -90961-65 x -76967-143 x -34985-715 x -6997


How do I find the factor combinations of the number 5,002,855?

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 5,002,855, 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 5,002,855
-1 -5,002,855

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 5,002,855.

Example:
1 x 5,002,855 = 5,002,855
and
-1 x -5,002,855 = 5,002,855
Notice both answers equal 5,002,855

With that explanation out of the way, let's continue. Next, we take the number 5,002,855 and divide it by 2:

5,002,855 ÷ 2 = 2,501,427.5

If the quotient is a whole number, then 2 and 2,501,427.5 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 5,002,855
-1 -5,002,855

Now, we try dividing 5,002,855 by 3:

5,002,855 ÷ 3 = 1,667,618.3333

If the quotient is a whole number, then 3 and 1,667,618.3333 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 5,002,855
-1 -5,002,855

Let's try dividing by 4:

5,002,855 ÷ 4 = 1,250,713.75

If the quotient is a whole number, then 4 and 1,250,713.75 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 5,002,855
-1 5,002,855
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651437156,99734,98576,96790,961384,835454,8051,000,5715,002,855
-1-5-11-13-55-65-143-715-6,997-34,985-76,967-90,961-384,835-454,805-1,000,571-5,002,855

More Examples

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