Q: What are the factor combinations of the number 5,044,631?

 A:
Positive:   1 x 504463117 x 29674343 x 11731767 x 75293103 x 48977731 x 69011139 x 44291751 x 2881
Negative: -1 x -5044631-17 x -296743-43 x -117317-67 x -75293-103 x -48977-731 x -6901-1139 x -4429-1751 x -2881


How do I find the factor combinations of the number 5,044,631?

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 5,044,631, 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 5,044,631
-1 -5,044,631

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 5,044,631.

Example:
1 x 5,044,631 = 5,044,631
and
-1 x -5,044,631 = 5,044,631
Notice both answers equal 5,044,631

With that explanation out of the way, let's continue. Next, we take the number 5,044,631 and divide it by 2:

5,044,631 ÷ 2 = 2,522,315.5

If the quotient is a whole number, then 2 and 2,522,315.5 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 5,044,631
-1 -5,044,631

Now, we try dividing 5,044,631 by 3:

5,044,631 ÷ 3 = 1,681,543.6667

If the quotient is a whole number, then 3 and 1,681,543.6667 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 5,044,631
-1 -5,044,631

Let's try dividing by 4:

5,044,631 ÷ 4 = 1,261,157.75

If the quotient is a whole number, then 4 and 1,261,157.75 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 5,044,631
-1 5,044,631
Keep dividing by the next highest number until you cannot divide anymore.

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

11743671037311,1391,7512,8814,4296,90148,97775,293117,317296,7435,044,631
-1-17-43-67-103-731-1,139-1,751-2,881-4,429-6,901-48,977-75,293-117,317-296,743-5,044,631

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,044,631:


Ask a Question