Q: What are the factor combinations of the number 133,233,337?

 A:
Positive:   1 x 13323333729 x 459425337 x 3600901227 x 586931547 x 2435711073 x 1241696583 x 202398399 x 15863
Negative: -1 x -133233337-29 x -4594253-37 x -3600901-227 x -586931-547 x -243571-1073 x -124169-6583 x -20239-8399 x -15863


How do I find the factor combinations of the number 133,233,337?

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 133,233,337, 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.

1 133,233,337
-1 -133,233,337

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 133,233,337.

Example:
1 x 133,233,337 = 133,233,337
and
-1 x -133,233,337 = 133,233,337
Notice both answers equal 133,233,337

With that explanation out of the way, let's continue. Next, we take the number 133,233,337 and divide it by 2:

133,233,337 ÷ 2 = 66,616,668.5

If the quotient is a whole number, then 2 and 66,616,668.5 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:

1 133,233,337
-1 -133,233,337

Now, we try dividing 133,233,337 by 3:

133,233,337 ÷ 3 = 44,411,112.3333

If the quotient is a whole number, then 3 and 44,411,112.3333 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:

1 133,233,337
-1 -133,233,337

Let's try dividing by 4:

133,233,337 ÷ 4 = 33,308,334.25

If the quotient is a whole number, then 4 and 33,308,334.25 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:

1 133,233,337
-1 133,233,337
Keep dividing by the next highest number until you cannot divide anymore.

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

129372275471,0736,5838,39915,86320,239124,169243,571586,9313,600,9014,594,253133,233,337
-1-29-37-227-547-1,073-6,583-8,399-15,863-20,239-124,169-243,571-586,931-3,600,901-4,594,253-133,233,337

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 133,233,337:


Ask a Question