Q: What are the factor combinations of the number 33,300,107?

 A:
Positive:   1 x 3330010731 x 1074197617 x 539711741 x 19127
Negative: -1 x -33300107-31 x -1074197-617 x -53971-1741 x -19127


How do I find the factor combinations of the number 33,300,107?

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 33,300,107, 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 33,300,107
-1 -33,300,107

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 33,300,107.

Example:
1 x 33,300,107 = 33,300,107
and
-1 x -33,300,107 = 33,300,107
Notice both answers equal 33,300,107

With that explanation out of the way, let's continue. Next, we take the number 33,300,107 and divide it by 2:

33,300,107 ÷ 2 = 16,650,053.5

If the quotient is a whole number, then 2 and 16,650,053.5 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 33,300,107
-1 -33,300,107

Now, we try dividing 33,300,107 by 3:

33,300,107 ÷ 3 = 11,100,035.6667

If the quotient is a whole number, then 3 and 11,100,035.6667 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 33,300,107
-1 -33,300,107

Let's try dividing by 4:

33,300,107 ÷ 4 = 8,325,026.75

If the quotient is a whole number, then 4 and 8,325,026.75 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 33,300,107
-1 33,300,107
Keep dividing by the next highest number until you cannot divide anymore.

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

1316171,74119,12753,9711,074,19733,300,107
-1-31-617-1,741-19,127-53,971-1,074,197-33,300,107

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 33,300,107:


Ask a Question