Q: What are the factor combinations of the number 330,232,331?

 A:
Positive:   1 x 33023233111 x 3002112113 x 2540248719 x 17380649143 x 2309317209 x 1580059247 x 1336973361 x 9147712717 x 1215433971 x 831614693 x 703676397 x 51623
Negative: -1 x -330232331-11 x -30021121-13 x -25402487-19 x -17380649-143 x -2309317-209 x -1580059-247 x -1336973-361 x -914771-2717 x -121543-3971 x -83161-4693 x -70367-6397 x -51623


How do I find the factor combinations of the number 330,232,331?

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 330,232,331, 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.

1 330,232,331
-1 -330,232,331

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 330,232,331.

Example:
1 x 330,232,331 = 330,232,331
and
-1 x -330,232,331 = 330,232,331
Notice both answers equal 330,232,331

With that explanation out of the way, let's continue. Next, we take the number 330,232,331 and divide it by 2:

330,232,331 ÷ 2 = 165,116,165.5

If the quotient is a whole number, then 2 and 165,116,165.5 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:

1 330,232,331
-1 -330,232,331

Now, we try dividing 330,232,331 by 3:

330,232,331 ÷ 3 = 110,077,443.6667

If the quotient is a whole number, then 3 and 110,077,443.6667 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:

1 330,232,331
-1 -330,232,331

Let's try dividing by 4:

330,232,331 ÷ 4 = 82,558,082.75

If the quotient is a whole number, then 4 and 82,558,082.75 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:

1 330,232,331
-1 330,232,331
Keep dividing by the next highest number until you cannot divide anymore.

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

11113191432092473612,7173,9714,6936,39751,62370,36783,161121,543914,7711,336,9731,580,0592,309,31717,380,64925,402,48730,021,121330,232,331
-1-11-13-19-143-209-247-361-2,717-3,971-4,693-6,397-51,623-70,367-83,161-121,543-914,771-1,336,973-1,580,059-2,309,317-17,380,649-25,402,487-30,021,121-330,232,331

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 330,232,331:


Ask a Question