Q: What are the factor combinations of the number 5,038,523?

 A:
Positive:   1 x 50385237 x 71978931 x 16253349 x 102827107 x 47089217 x 23219749 x 6727961 x 52431519 x 3317
Negative: -1 x -5038523-7 x -719789-31 x -162533-49 x -102827-107 x -47089-217 x -23219-749 x -6727-961 x -5243-1519 x -3317


How do I find the factor combinations of the number 5,038,523?

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 5,038,523, 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 5,038,523
-1 -5,038,523

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 5,038,523.

Example:
1 x 5,038,523 = 5,038,523
and
-1 x -5,038,523 = 5,038,523
Notice both answers equal 5,038,523

With that explanation out of the way, let's continue. Next, we take the number 5,038,523 and divide it by 2:

5,038,523 ÷ 2 = 2,519,261.5

If the quotient is a whole number, then 2 and 2,519,261.5 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 5,038,523
-1 -5,038,523

Now, we try dividing 5,038,523 by 3:

5,038,523 ÷ 3 = 1,679,507.6667

If the quotient is a whole number, then 3 and 1,679,507.6667 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 5,038,523
-1 -5,038,523

Let's try dividing by 4:

5,038,523 ÷ 4 = 1,259,630.75

If the quotient is a whole number, then 4 and 1,259,630.75 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 5,038,523
-1 5,038,523
Keep dividing by the next highest number until you cannot divide anymore.

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

1731491072177499611,5193,3175,2436,72723,21947,089102,827162,533719,7895,038,523
-1-7-31-49-107-217-749-961-1,519-3,317-5,243-6,727-23,219-47,089-102,827-162,533-719,789-5,038,523

More Examples

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