Q: What are the factor combinations of the number 313,327,261?

 A:
Positive:   1 x 31332726113 x 2410209731 x 10107331403 x 777487821 x 381641947 x 33086310673 x 2935712311 x 25451
Negative: -1 x -313327261-13 x -24102097-31 x -10107331-403 x -777487-821 x -381641-947 x -330863-10673 x -29357-12311 x -25451


How do I find the factor combinations of the number 313,327,261?

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 313,327,261, 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.

1 313,327,261
-1 -313,327,261

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 313,327,261.

Example:
1 x 313,327,261 = 313,327,261
and
-1 x -313,327,261 = 313,327,261
Notice both answers equal 313,327,261

With that explanation out of the way, let's continue. Next, we take the number 313,327,261 and divide it by 2:

313,327,261 ÷ 2 = 156,663,630.5

If the quotient is a whole number, then 2 and 156,663,630.5 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:

1 313,327,261
-1 -313,327,261

Now, we try dividing 313,327,261 by 3:

313,327,261 ÷ 3 = 104,442,420.3333

If the quotient is a whole number, then 3 and 104,442,420.3333 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:

1 313,327,261
-1 -313,327,261

Let's try dividing by 4:

313,327,261 ÷ 4 = 78,331,815.25

If the quotient is a whole number, then 4 and 78,331,815.25 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:

1 313,327,261
-1 313,327,261
Keep dividing by the next highest number until you cannot divide anymore.

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

1133140382194710,67312,31125,45129,357330,863381,641777,48710,107,33124,102,097313,327,261
-1-13-31-403-821-947-10,673-12,311-25,451-29,357-330,863-381,641-777,487-10,107,331-24,102,097-313,327,261

More Examples

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