Q: What are the factor combinations of the number 5,131,027?

 A:
Positive:   1 x 513102711 x 46645731 x 16551741 x 125147341 x 15047367 x 13981451 x 113771271 x 4037
Negative: -1 x -5131027-11 x -466457-31 x -165517-41 x -125147-341 x -15047-367 x -13981-451 x -11377-1271 x -4037


How do I find the factor combinations of the number 5,131,027?

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 5,131,027, 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 5,131,027
-1 -5,131,027

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 5,131,027.

Example:
1 x 5,131,027 = 5,131,027
and
-1 x -5,131,027 = 5,131,027
Notice both answers equal 5,131,027

With that explanation out of the way, let's continue. Next, we take the number 5,131,027 and divide it by 2:

5,131,027 ÷ 2 = 2,565,513.5

If the quotient is a whole number, then 2 and 2,565,513.5 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 5,131,027
-1 -5,131,027

Now, we try dividing 5,131,027 by 3:

5,131,027 ÷ 3 = 1,710,342.3333

If the quotient is a whole number, then 3 and 1,710,342.3333 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 5,131,027
-1 -5,131,027

Let's try dividing by 4:

5,131,027 ÷ 4 = 1,282,756.75

If the quotient is a whole number, then 4 and 1,282,756.75 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 5,131,027
-1 5,131,027
Keep dividing by the next highest number until you cannot divide anymore.

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

11131413413674511,2714,03711,37713,98115,047125,147165,517466,4575,131,027
-1-11-31-41-341-367-451-1,271-4,037-11,377-13,981-15,047-125,147-165,517-466,457-5,131,027

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,131,027:


Ask a Question