Q: What are the factor combinations of the number 540,444,731?

 A:
Positive:   1 x 54044473123 x 2349759731 x 17433701271 x 1994261713 x 7579872797 x 1932236233 x 867078401 x 64331
Negative: -1 x -540444731-23 x -23497597-31 x -17433701-271 x -1994261-713 x -757987-2797 x -193223-6233 x -86707-8401 x -64331


How do I find the factor combinations of the number 540,444,731?

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 540,444,731, 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.

1 540,444,731
-1 -540,444,731

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 540,444,731.

Example:
1 x 540,444,731 = 540,444,731
and
-1 x -540,444,731 = 540,444,731
Notice both answers equal 540,444,731

With that explanation out of the way, let's continue. Next, we take the number 540,444,731 and divide it by 2:

540,444,731 ÷ 2 = 270,222,365.5

If the quotient is a whole number, then 2 and 270,222,365.5 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:

1 540,444,731
-1 -540,444,731

Now, we try dividing 540,444,731 by 3:

540,444,731 ÷ 3 = 180,148,243.6667

If the quotient is a whole number, then 3 and 180,148,243.6667 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:

1 540,444,731
-1 -540,444,731

Let's try dividing by 4:

540,444,731 ÷ 4 = 135,111,182.75

If the quotient is a whole number, then 4 and 135,111,182.75 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:

1 540,444,731
-1 540,444,731
Keep dividing by the next highest number until you cannot divide anymore.

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

123312717132,7976,2338,40164,33186,707193,223757,9871,994,26117,433,70123,497,597540,444,731
-1-23-31-271-713-2,797-6,233-8,401-64,331-86,707-193,223-757,987-1,994,261-17,433,701-23,497,597-540,444,731

More Examples

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