Q: What are the factor combinations of the number 133,040,999?

 A:
Positive:   1 x 1330409997 x 1900585713 x 1023392391 x 1461989
Negative: -1 x -133040999-7 x -19005857-13 x -10233923-91 x -1461989


How do I find the factor combinations of the number 133,040,999?

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 133,040,999, 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.

1 133,040,999
-1 -133,040,999

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 133,040,999.

Example:
1 x 133,040,999 = 133,040,999
and
-1 x -133,040,999 = 133,040,999
Notice both answers equal 133,040,999

With that explanation out of the way, let's continue. Next, we take the number 133,040,999 and divide it by 2:

133,040,999 ÷ 2 = 66,520,499.5

If the quotient is a whole number, then 2 and 66,520,499.5 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:

1 133,040,999
-1 -133,040,999

Now, we try dividing 133,040,999 by 3:

133,040,999 ÷ 3 = 44,346,999.6667

If the quotient is a whole number, then 3 and 44,346,999.6667 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:

1 133,040,999
-1 -133,040,999

Let's try dividing by 4:

133,040,999 ÷ 4 = 33,260,249.75

If the quotient is a whole number, then 4 and 33,260,249.75 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:

1 133,040,999
-1 133,040,999
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911,461,98910,233,92319,005,857133,040,999
-1-7-13-91-1,461,989-10,233,923-19,005,857-133,040,999

More Examples

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