Q: What are the factor combinations of the number 316,757,537?

 A:
Positive:   1 x 316757537271 x 1168847
Negative: -1 x -316757537-271 x -1168847


How do I find the factor combinations of the number 316,757,537?

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 316,757,537, 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.

1 316,757,537
-1 -316,757,537

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 316,757,537.

Example:
1 x 316,757,537 = 316,757,537
and
-1 x -316,757,537 = 316,757,537
Notice both answers equal 316,757,537

With that explanation out of the way, let's continue. Next, we take the number 316,757,537 and divide it by 2:

316,757,537 ÷ 2 = 158,378,768.5

If the quotient is a whole number, then 2 and 158,378,768.5 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:

1 316,757,537
-1 -316,757,537

Now, we try dividing 316,757,537 by 3:

316,757,537 ÷ 3 = 105,585,845.6667

If the quotient is a whole number, then 3 and 105,585,845.6667 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:

1 316,757,537
-1 -316,757,537

Let's try dividing by 4:

316,757,537 ÷ 4 = 79,189,384.25

If the quotient is a whole number, then 4 and 79,189,384.25 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:

1 316,757,537
-1 316,757,537
Keep dividing by the next highest number until you cannot divide anymore.

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

12711,168,847316,757,537
-1-271-1,168,847-316,757,537

More Examples

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