Q: What are the factor combinations of the number 316,000,519?

 A:
Positive:   1 x 31600051923 x 1373915359 x 5355941337 x 937687691 x 4573091357 x 2328677751 x 4076915893 x 19883
Negative: -1 x -316000519-23 x -13739153-59 x -5355941-337 x -937687-691 x -457309-1357 x -232867-7751 x -40769-15893 x -19883


How do I find the factor combinations of the number 316,000,519?

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 316,000,519, 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.

1 316,000,519
-1 -316,000,519

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 316,000,519.

Example:
1 x 316,000,519 = 316,000,519
and
-1 x -316,000,519 = 316,000,519
Notice both answers equal 316,000,519

With that explanation out of the way, let's continue. Next, we take the number 316,000,519 and divide it by 2:

316,000,519 ÷ 2 = 158,000,259.5

If the quotient is a whole number, then 2 and 158,000,259.5 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:

1 316,000,519
-1 -316,000,519

Now, we try dividing 316,000,519 by 3:

316,000,519 ÷ 3 = 105,333,506.3333

If the quotient is a whole number, then 3 and 105,333,506.3333 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:

1 316,000,519
-1 -316,000,519

Let's try dividing by 4:

316,000,519 ÷ 4 = 79,000,129.75

If the quotient is a whole number, then 4 and 79,000,129.75 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:

1 316,000,519
-1 316,000,519
Keep dividing by the next highest number until you cannot divide anymore.

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

123593376911,3577,75115,89319,88340,769232,867457,309937,6875,355,94113,739,153316,000,519
-1-23-59-337-691-1,357-7,751-15,893-19,883-40,769-232,867-457,309-937,687-5,355,941-13,739,153-316,000,519

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