Q: What are the factor combinations of the number 5,024,327?

 A:
Positive:   1 x 50243277 x 71776111 x 45675723 x 21844977 x 65251161 x 31207253 x 198591771 x 2837
Negative: -1 x -5024327-7 x -717761-11 x -456757-23 x -218449-77 x -65251-161 x -31207-253 x -19859-1771 x -2837


How do I find the factor combinations of the number 5,024,327?

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 5,024,327, 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 5,024,327
-1 -5,024,327

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 5,024,327.

Example:
1 x 5,024,327 = 5,024,327
and
-1 x -5,024,327 = 5,024,327
Notice both answers equal 5,024,327

With that explanation out of the way, let's continue. Next, we take the number 5,024,327 and divide it by 2:

5,024,327 ÷ 2 = 2,512,163.5

If the quotient is a whole number, then 2 and 2,512,163.5 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 5,024,327
-1 -5,024,327

Now, we try dividing 5,024,327 by 3:

5,024,327 ÷ 3 = 1,674,775.6667

If the quotient is a whole number, then 3 and 1,674,775.6667 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 5,024,327
-1 -5,024,327

Let's try dividing by 4:

5,024,327 ÷ 4 = 1,256,081.75

If the quotient is a whole number, then 4 and 1,256,081.75 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 5,024,327
-1 5,024,327
Keep dividing by the next highest number until you cannot divide anymore.

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

171123771612531,7712,83719,85931,20765,251218,449456,757717,7615,024,327
-1-7-11-23-77-161-253-1,771-2,837-19,859-31,207-65,251-218,449-456,757-717,761-5,024,327

More Examples

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