Q: What are the factor combinations of the number 330,003,011?

 A:
Positive:   1 x 33000301113 x 2538484723 x 1434795789 x 3707899299 x 11036891157 x 2852232047 x 16121312401 x 26611
Negative: -1 x -330003011-13 x -25384847-23 x -14347957-89 x -3707899-299 x -1103689-1157 x -285223-2047 x -161213-12401 x -26611


How do I find the factor combinations of the number 330,003,011?

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 330,003,011, 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.

1 330,003,011
-1 -330,003,011

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 330,003,011.

Example:
1 x 330,003,011 = 330,003,011
and
-1 x -330,003,011 = 330,003,011
Notice both answers equal 330,003,011

With that explanation out of the way, let's continue. Next, we take the number 330,003,011 and divide it by 2:

330,003,011 ÷ 2 = 165,001,505.5

If the quotient is a whole number, then 2 and 165,001,505.5 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:

1 330,003,011
-1 -330,003,011

Now, we try dividing 330,003,011 by 3:

330,003,011 ÷ 3 = 110,001,003.6667

If the quotient is a whole number, then 3 and 110,001,003.6667 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:

1 330,003,011
-1 -330,003,011

Let's try dividing by 4:

330,003,011 ÷ 4 = 82,500,752.75

If the quotient is a whole number, then 4 and 82,500,752.75 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:

1 330,003,011
-1 330,003,011
Keep dividing by the next highest number until you cannot divide anymore.

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

11323892991,1572,04712,40126,611161,213285,2231,103,6893,707,89914,347,95725,384,847330,003,011
-1-13-23-89-299-1,157-2,047-12,401-26,611-161,213-285,223-1,103,689-3,707,899-14,347,957-25,384,847-330,003,011

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