Q: What are the factor combinations of the number 330,420,211?

 A:
Positive:   1 x 33042021111 x 3003820117 x 19436483187 x 1766953991 x 3334211783 x 18531710901 x 3031116847 x 19613
Negative: -1 x -330420211-11 x -30038201-17 x -19436483-187 x -1766953-991 x -333421-1783 x -185317-10901 x -30311-16847 x -19613


How do I find the factor combinations of the number 330,420,211?

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 330,420,211, 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.

1 330,420,211
-1 -330,420,211

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 330,420,211.

Example:
1 x 330,420,211 = 330,420,211
and
-1 x -330,420,211 = 330,420,211
Notice both answers equal 330,420,211

With that explanation out of the way, let's continue. Next, we take the number 330,420,211 and divide it by 2:

330,420,211 ÷ 2 = 165,210,105.5

If the quotient is a whole number, then 2 and 165,210,105.5 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:

1 330,420,211
-1 -330,420,211

Now, we try dividing 330,420,211 by 3:

330,420,211 ÷ 3 = 110,140,070.3333

If the quotient is a whole number, then 3 and 110,140,070.3333 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:

1 330,420,211
-1 -330,420,211

Let's try dividing by 4:

330,420,211 ÷ 4 = 82,605,052.75

If the quotient is a whole number, then 4 and 82,605,052.75 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:

1 330,420,211
-1 330,420,211
Keep dividing by the next highest number until you cannot divide anymore.

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

111171879911,78310,90116,84719,61330,311185,317333,4211,766,95319,436,48330,038,201330,420,211
-1-11-17-187-991-1,783-10,901-16,847-19,613-30,311-185,317-333,421-1,766,953-19,436,483-30,038,201-330,420,211

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 330,420,211:


Ask a Question