Q: What are the factor combinations of the number 313,343,231?

 A:
Positive:   1 x 31334323119 x 1649174929 x 10804939277 x 1131203551 x 5686812053 x 1526275263 x 595378033 x 39007
Negative: -1 x -313343231-19 x -16491749-29 x -10804939-277 x -1131203-551 x -568681-2053 x -152627-5263 x -59537-8033 x -39007


How do I find the factor combinations of the number 313,343,231?

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 313,343,231, 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.

1 313,343,231
-1 -313,343,231

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 313,343,231.

Example:
1 x 313,343,231 = 313,343,231
and
-1 x -313,343,231 = 313,343,231
Notice both answers equal 313,343,231

With that explanation out of the way, let's continue. Next, we take the number 313,343,231 and divide it by 2:

313,343,231 ÷ 2 = 156,671,615.5

If the quotient is a whole number, then 2 and 156,671,615.5 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:

1 313,343,231
-1 -313,343,231

Now, we try dividing 313,343,231 by 3:

313,343,231 ÷ 3 = 104,447,743.6667

If the quotient is a whole number, then 3 and 104,447,743.6667 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:

1 313,343,231
-1 -313,343,231

Let's try dividing by 4:

313,343,231 ÷ 4 = 78,335,807.75

If the quotient is a whole number, then 4 and 78,335,807.75 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:

1 313,343,231
-1 313,343,231
Keep dividing by the next highest number until you cannot divide anymore.

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

119292775512,0535,2638,03339,00759,537152,627568,6811,131,20310,804,93916,491,749313,343,231
-1-19-29-277-551-2,053-5,263-8,033-39,007-59,537-152,627-568,681-1,131,203-10,804,939-16,491,749-313,343,231

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 313,343,231:


Ask a Question