Q: What are the factor combinations of the number 313,333,321?

 A:
Positive:   1 x 3133333217 x 44761903227 x 1380323293 x 1069397673 x 4655771589 x 1971892051 x 1527714711 x 66511
Negative: -1 x -313333321-7 x -44761903-227 x -1380323-293 x -1069397-673 x -465577-1589 x -197189-2051 x -152771-4711 x -66511


How do I find the factor combinations of the number 313,333,321?

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 313,333,321, 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.

1 313,333,321
-1 -313,333,321

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 313,333,321.

Example:
1 x 313,333,321 = 313,333,321
and
-1 x -313,333,321 = 313,333,321
Notice both answers equal 313,333,321

With that explanation out of the way, let's continue. Next, we take the number 313,333,321 and divide it by 2:

313,333,321 ÷ 2 = 156,666,660.5

If the quotient is a whole number, then 2 and 156,666,660.5 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:

1 313,333,321
-1 -313,333,321

Now, we try dividing 313,333,321 by 3:

313,333,321 ÷ 3 = 104,444,440.3333

If the quotient is a whole number, then 3 and 104,444,440.3333 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:

1 313,333,321
-1 -313,333,321

Let's try dividing by 4:

313,333,321 ÷ 4 = 78,333,330.25

If the quotient is a whole number, then 4 and 78,333,330.25 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:

1 313,333,321
-1 313,333,321
Keep dividing by the next highest number until you cannot divide anymore.

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

172272936731,5892,0514,71166,511152,771197,189465,5771,069,3971,380,32344,761,903313,333,321
-1-7-227-293-673-1,589-2,051-4,711-66,511-152,771-197,189-465,577-1,069,397-1,380,323-44,761,903-313,333,321

More Examples

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