Q: What are the factor combinations of the number 5,023,499?

 A:
Positive:   1 x 502349913 x 38642323 x 21841353 x 94783299 x 16801317 x 15847689 x 72911219 x 4121
Negative: -1 x -5023499-13 x -386423-23 x -218413-53 x -94783-299 x -16801-317 x -15847-689 x -7291-1219 x -4121


How do I find the factor combinations of the number 5,023,499?

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 5,023,499, 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 5,023,499
-1 -5,023,499

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 5,023,499.

Example:
1 x 5,023,499 = 5,023,499
and
-1 x -5,023,499 = 5,023,499
Notice both answers equal 5,023,499

With that explanation out of the way, let's continue. Next, we take the number 5,023,499 and divide it by 2:

5,023,499 ÷ 2 = 2,511,749.5

If the quotient is a whole number, then 2 and 2,511,749.5 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 5,023,499
-1 -5,023,499

Now, we try dividing 5,023,499 by 3:

5,023,499 ÷ 3 = 1,674,499.6667

If the quotient is a whole number, then 3 and 1,674,499.6667 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 5,023,499
-1 -5,023,499

Let's try dividing by 4:

5,023,499 ÷ 4 = 1,255,874.75

If the quotient is a whole number, then 4 and 1,255,874.75 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 5,023,499
-1 5,023,499
Keep dividing by the next highest number until you cannot divide anymore.

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

11323532993176891,2194,1217,29115,84716,80194,783218,413386,4235,023,499
-1-13-23-53-299-317-689-1,219-4,121-7,291-15,847-16,801-94,783-218,413-386,423-5,023,499

More Examples

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