Q: What are the factor combinations of the number 5,007,469?

 A:
Positive:   1 x 500746917 x 29455719 x 26355137 x 135337323 x 15503419 x 11951629 x 7961703 x 7123
Negative: -1 x -5007469-17 x -294557-19 x -263551-37 x -135337-323 x -15503-419 x -11951-629 x -7961-703 x -7123


How do I find the factor combinations of the number 5,007,469?

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 5,007,469, 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 5,007,469
-1 -5,007,469

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 5,007,469.

Example:
1 x 5,007,469 = 5,007,469
and
-1 x -5,007,469 = 5,007,469
Notice both answers equal 5,007,469

With that explanation out of the way, let's continue. Next, we take the number 5,007,469 and divide it by 2:

5,007,469 ÷ 2 = 2,503,734.5

If the quotient is a whole number, then 2 and 2,503,734.5 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 5,007,469
-1 -5,007,469

Now, we try dividing 5,007,469 by 3:

5,007,469 ÷ 3 = 1,669,156.3333

If the quotient is a whole number, then 3 and 1,669,156.3333 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 5,007,469
-1 -5,007,469

Let's try dividing by 4:

5,007,469 ÷ 4 = 1,251,867.25

If the quotient is a whole number, then 4 and 1,251,867.25 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 5,007,469
-1 5,007,469
Keep dividing by the next highest number until you cannot divide anymore.

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

11719373234196297037,1237,96111,95115,503135,337263,551294,5575,007,469
-1-17-19-37-323-419-629-703-7,123-7,961-11,951-15,503-135,337-263,551-294,557-5,007,469

More Examples

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