Q: What are the factor combinations of the number 516,583,331?

 A:
Positive:   1 x 51658333111 x 469621214861 x 1062719661 x 53471
Negative: -1 x -516583331-11 x -46962121-4861 x -106271-9661 x -53471


How do I find the factor combinations of the number 516,583,331?

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 516,583,331, 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.

1 516,583,331
-1 -516,583,331

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 516,583,331.

Example:
1 x 516,583,331 = 516,583,331
and
-1 x -516,583,331 = 516,583,331
Notice both answers equal 516,583,331

With that explanation out of the way, let's continue. Next, we take the number 516,583,331 and divide it by 2:

516,583,331 ÷ 2 = 258,291,665.5

If the quotient is a whole number, then 2 and 258,291,665.5 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:

1 516,583,331
-1 -516,583,331

Now, we try dividing 516,583,331 by 3:

516,583,331 ÷ 3 = 172,194,443.6667

If the quotient is a whole number, then 3 and 172,194,443.6667 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:

1 516,583,331
-1 -516,583,331

Let's try dividing by 4:

516,583,331 ÷ 4 = 129,145,832.75

If the quotient is a whole number, then 4 and 129,145,832.75 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:

1 516,583,331
-1 516,583,331
Keep dividing by the next highest number until you cannot divide anymore.

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

1114,8619,66153,471106,27146,962,121516,583,331
-1-11-4,861-9,661-53,471-106,271-46,962,121-516,583,331

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