Q: What are the factor combinations of the number 314,331,041?

 A:
Positive:   1 x 31433104119 x 1654373923 x 1366656731 x 10139711437 x 719293589 x 533669713 x 44085713547 x 23203
Negative: -1 x -314331041-19 x -16543739-23 x -13666567-31 x -10139711-437 x -719293-589 x -533669-713 x -440857-13547 x -23203


How do I find the factor combinations of the number 314,331,041?

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 314,331,041, 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.

1 314,331,041
-1 -314,331,041

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 314,331,041.

Example:
1 x 314,331,041 = 314,331,041
and
-1 x -314,331,041 = 314,331,041
Notice both answers equal 314,331,041

With that explanation out of the way, let's continue. Next, we take the number 314,331,041 and divide it by 2:

314,331,041 ÷ 2 = 157,165,520.5

If the quotient is a whole number, then 2 and 157,165,520.5 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:

1 314,331,041
-1 -314,331,041

Now, we try dividing 314,331,041 by 3:

314,331,041 ÷ 3 = 104,777,013.6667

If the quotient is a whole number, then 3 and 104,777,013.6667 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:

1 314,331,041
-1 -314,331,041

Let's try dividing by 4:

314,331,041 ÷ 4 = 78,582,760.25

If the quotient is a whole number, then 4 and 78,582,760.25 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:

1 314,331,041
-1 314,331,041
Keep dividing by the next highest number until you cannot divide anymore.

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

119233143758971313,54723,203440,857533,669719,29310,139,71113,666,56716,543,739314,331,041
-1-19-23-31-437-589-713-13,547-23,203-440,857-533,669-719,293-10,139,711-13,666,567-16,543,739-314,331,041

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