Q: What are the factor combinations of the number 5,037,809?

 A:
Positive:   1 x 50378097 x 71968737 x 13615753 x 95053259 x 19451367 x 13727371 x 135791961 x 2569
Negative: -1 x -5037809-7 x -719687-37 x -136157-53 x -95053-259 x -19451-367 x -13727-371 x -13579-1961 x -2569


How do I find the factor combinations of the number 5,037,809?

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 5,037,809, 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 5,037,809
-1 -5,037,809

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 5,037,809.

Example:
1 x 5,037,809 = 5,037,809
and
-1 x -5,037,809 = 5,037,809
Notice both answers equal 5,037,809

With that explanation out of the way, let's continue. Next, we take the number 5,037,809 and divide it by 2:

5,037,809 ÷ 2 = 2,518,904.5

If the quotient is a whole number, then 2 and 2,518,904.5 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 5,037,809
-1 -5,037,809

Now, we try dividing 5,037,809 by 3:

5,037,809 ÷ 3 = 1,679,269.6667

If the quotient is a whole number, then 3 and 1,679,269.6667 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 5,037,809
-1 -5,037,809

Let's try dividing by 4:

5,037,809 ÷ 4 = 1,259,452.25

If the quotient is a whole number, then 4 and 1,259,452.25 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 5,037,809
-1 5,037,809
Keep dividing by the next highest number until you cannot divide anymore.

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

1737532593673711,9612,56913,57913,72719,45195,053136,157719,6875,037,809
-1-7-37-53-259-367-371-1,961-2,569-13,579-13,727-19,451-95,053-136,157-719,687-5,037,809

More Examples

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