Q: What are the factor combinations of the number 333,200,029?

 A:
Positive:   1 x 33320002953 x 6286793109 x 3056881137 x 2432117421 x 7914495777 x 576777261 x 4588914933 x 22313
Negative: -1 x -333200029-53 x -6286793-109 x -3056881-137 x -2432117-421 x -791449-5777 x -57677-7261 x -45889-14933 x -22313


How do I find the factor combinations of the number 333,200,029?

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 333,200,029, 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.

1 333,200,029
-1 -333,200,029

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 333,200,029.

Example:
1 x 333,200,029 = 333,200,029
and
-1 x -333,200,029 = 333,200,029
Notice both answers equal 333,200,029

With that explanation out of the way, let's continue. Next, we take the number 333,200,029 and divide it by 2:

333,200,029 ÷ 2 = 166,600,014.5

If the quotient is a whole number, then 2 and 166,600,014.5 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:

1 333,200,029
-1 -333,200,029

Now, we try dividing 333,200,029 by 3:

333,200,029 ÷ 3 = 111,066,676.3333

If the quotient is a whole number, then 3 and 111,066,676.3333 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:

1 333,200,029
-1 -333,200,029

Let's try dividing by 4:

333,200,029 ÷ 4 = 83,300,007.25

If the quotient is a whole number, then 4 and 83,300,007.25 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:

1 333,200,029
-1 333,200,029
Keep dividing by the next highest number until you cannot divide anymore.

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

1531091374215,7777,26114,93322,31345,88957,677791,4492,432,1173,056,8816,286,793333,200,029
-1-53-109-137-421-5,777-7,261-14,933-22,313-45,889-57,677-791,449-2,432,117-3,056,881-6,286,793-333,200,029

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 333,200,029:


Ask a Question