Q: What are the factor combinations of the number 133,320,035?

 A:
Positive:   1 x 1333200355 x 2666400717 x 784235585 x 1568471257 x 518755289 x 461315359 x 3713651285 x 1037511445 x 922631795 x 742734369 x 305156103 x 21845
Negative: -1 x -133320035-5 x -26664007-17 x -7842355-85 x -1568471-257 x -518755-289 x -461315-359 x -371365-1285 x -103751-1445 x -92263-1795 x -74273-4369 x -30515-6103 x -21845


How do I find the factor combinations of the number 133,320,035?

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 133,320,035, 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.

1 133,320,035
-1 -133,320,035

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 133,320,035.

Example:
1 x 133,320,035 = 133,320,035
and
-1 x -133,320,035 = 133,320,035
Notice both answers equal 133,320,035

With that explanation out of the way, let's continue. Next, we take the number 133,320,035 and divide it by 2:

133,320,035 ÷ 2 = 66,660,017.5

If the quotient is a whole number, then 2 and 66,660,017.5 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:

1 133,320,035
-1 -133,320,035

Now, we try dividing 133,320,035 by 3:

133,320,035 ÷ 3 = 44,440,011.6667

If the quotient is a whole number, then 3 and 44,440,011.6667 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:

1 133,320,035
-1 -133,320,035

Let's try dividing by 4:

133,320,035 ÷ 4 = 33,330,008.75

If the quotient is a whole number, then 4 and 33,330,008.75 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:

1 133,320,035
-1 133,320,035
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852572893591,2851,4451,7954,3696,10321,84530,51574,27392,263103,751371,365461,315518,7551,568,4717,842,35526,664,007133,320,035
-1-5-17-85-257-289-359-1,285-1,445-1,795-4,369-6,103-21,845-30,515-74,273-92,263-103,751-371,365-461,315-518,755-1,568,471-7,842,355-26,664,007-133,320,035

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