Q: What are the factor combinations of the number 314,391,343?

 A:
Positive:   1 x 3143913437 x 4491304989 x 3532487173 x 1817291623 x 5046411211 x 2596132917 x 10777915397 x 20419
Negative: -1 x -314391343-7 x -44913049-89 x -3532487-173 x -1817291-623 x -504641-1211 x -259613-2917 x -107779-15397 x -20419


How do I find the factor combinations of the number 314,391,343?

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 314,391,343, 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.

1 314,391,343
-1 -314,391,343

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 314,391,343.

Example:
1 x 314,391,343 = 314,391,343
and
-1 x -314,391,343 = 314,391,343
Notice both answers equal 314,391,343

With that explanation out of the way, let's continue. Next, we take the number 314,391,343 and divide it by 2:

314,391,343 ÷ 2 = 157,195,671.5

If the quotient is a whole number, then 2 and 157,195,671.5 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:

1 314,391,343
-1 -314,391,343

Now, we try dividing 314,391,343 by 3:

314,391,343 ÷ 3 = 104,797,114.3333

If the quotient is a whole number, then 3 and 104,797,114.3333 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:

1 314,391,343
-1 -314,391,343

Let's try dividing by 4:

314,391,343 ÷ 4 = 78,597,835.75

If the quotient is a whole number, then 4 and 78,597,835.75 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:

1 314,391,343
-1 314,391,343
Keep dividing by the next highest number until you cannot divide anymore.

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

17891736231,2112,91715,39720,419107,779259,613504,6411,817,2913,532,48744,913,049314,391,343
-1-7-89-173-623-1,211-2,917-15,397-20,419-107,779-259,613-504,641-1,817,291-3,532,487-44,913,049-314,391,343

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 314,391,343:


Ask a Question