Q: What are the factor combinations of the number 5,002,555?

 A:
Positive:   1 x 50025555 x 100051167 x 74665109 x 45895137 x 36515335 x 14933545 x 9179685 x 7303
Negative: -1 x -5002555-5 x -1000511-67 x -74665-109 x -45895-137 x -36515-335 x -14933-545 x -9179-685 x -7303


How do I find the factor combinations of the number 5,002,555?

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 5,002,555, 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 5,002,555
-1 -5,002,555

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 5,002,555.

Example:
1 x 5,002,555 = 5,002,555
and
-1 x -5,002,555 = 5,002,555
Notice both answers equal 5,002,555

With that explanation out of the way, let's continue. Next, we take the number 5,002,555 and divide it by 2:

5,002,555 ÷ 2 = 2,501,277.5

If the quotient is a whole number, then 2 and 2,501,277.5 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 5,002,555
-1 -5,002,555

Now, we try dividing 5,002,555 by 3:

5,002,555 ÷ 3 = 1,667,518.3333

If the quotient is a whole number, then 3 and 1,667,518.3333 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 5,002,555
-1 -5,002,555

Let's try dividing by 4:

5,002,555 ÷ 4 = 1,250,638.75

If the quotient is a whole number, then 4 and 1,250,638.75 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 5,002,555
-1 5,002,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15671091373355456857,3039,17914,93336,51545,89574,6651,000,5115,002,555
-1-5-67-109-137-335-545-685-7,303-9,179-14,933-36,515-45,895-74,665-1,000,511-5,002,555

More Examples

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