Q: What are the factor combinations of the number 5,311,999?

 A:
Positive:   1 x 53119997 x 75885711 x 48290977 x 68987149 x 35651463 x 114731043 x 50931639 x 3241
Negative: -1 x -5311999-7 x -758857-11 x -482909-77 x -68987-149 x -35651-463 x -11473-1043 x -5093-1639 x -3241


How do I find the factor combinations of the number 5,311,999?

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 5,311,999, 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 5,311,999
-1 -5,311,999

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 5,311,999.

Example:
1 x 5,311,999 = 5,311,999
and
-1 x -5,311,999 = 5,311,999
Notice both answers equal 5,311,999

With that explanation out of the way, let's continue. Next, we take the number 5,311,999 and divide it by 2:

5,311,999 ÷ 2 = 2,655,999.5

If the quotient is a whole number, then 2 and 2,655,999.5 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 5,311,999
-1 -5,311,999

Now, we try dividing 5,311,999 by 3:

5,311,999 ÷ 3 = 1,770,666.3333

If the quotient is a whole number, then 3 and 1,770,666.3333 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 5,311,999
-1 -5,311,999

Let's try dividing by 4:

5,311,999 ÷ 4 = 1,327,999.75

If the quotient is a whole number, then 4 and 1,327,999.75 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 5,311,999
-1 5,311,999
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771494631,0431,6393,2415,09311,47335,65168,987482,909758,8575,311,999
-1-7-11-77-149-463-1,043-1,639-3,241-5,093-11,473-35,651-68,987-482,909-758,857-5,311,999

More Examples

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