Q: What are the factor combinations of the number 330,421,433?

 A:
Positive:   1 x 33042143337 x 893030971 x 465382373 x 45263211723 x 1917712627 x 1257792701 x 1223335183 x 63751
Negative: -1 x -330421433-37 x -8930309-71 x -4653823-73 x -4526321-1723 x -191771-2627 x -125779-2701 x -122333-5183 x -63751


How do I find the factor combinations of the number 330,421,433?

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 330,421,433, 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.

1 330,421,433
-1 -330,421,433

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 330,421,433.

Example:
1 x 330,421,433 = 330,421,433
and
-1 x -330,421,433 = 330,421,433
Notice both answers equal 330,421,433

With that explanation out of the way, let's continue. Next, we take the number 330,421,433 and divide it by 2:

330,421,433 ÷ 2 = 165,210,716.5

If the quotient is a whole number, then 2 and 165,210,716.5 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:

1 330,421,433
-1 -330,421,433

Now, we try dividing 330,421,433 by 3:

330,421,433 ÷ 3 = 110,140,477.6667

If the quotient is a whole number, then 3 and 110,140,477.6667 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:

1 330,421,433
-1 -330,421,433

Let's try dividing by 4:

330,421,433 ÷ 4 = 82,605,358.25

If the quotient is a whole number, then 4 and 82,605,358.25 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:

1 330,421,433
-1 330,421,433
Keep dividing by the next highest number until you cannot divide anymore.

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

13771731,7232,6272,7015,18363,751122,333125,779191,7714,526,3214,653,8238,930,309330,421,433
-1-37-71-73-1,723-2,627-2,701-5,183-63,751-122,333-125,779-191,771-4,526,321-4,653,823-8,930,309-330,421,433

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 330,421,433:


Ask a Question