Q: What are the factor combinations of the number 133,413,121?

 A:
Positive:   1 x 13341312173 x 182757783 x 160738797 x 1375393227 x 5877236059 x 220197081 x 188418051 x 16571
Negative: -1 x -133413121-73 x -1827577-83 x -1607387-97 x -1375393-227 x -587723-6059 x -22019-7081 x -18841-8051 x -16571


How do I find the factor combinations of the number 133,413,121?

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 133,413,121, 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.

1 133,413,121
-1 -133,413,121

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 133,413,121.

Example:
1 x 133,413,121 = 133,413,121
and
-1 x -133,413,121 = 133,413,121
Notice both answers equal 133,413,121

With that explanation out of the way, let's continue. Next, we take the number 133,413,121 and divide it by 2:

133,413,121 ÷ 2 = 66,706,560.5

If the quotient is a whole number, then 2 and 66,706,560.5 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:

1 133,413,121
-1 -133,413,121

Now, we try dividing 133,413,121 by 3:

133,413,121 ÷ 3 = 44,471,040.3333

If the quotient is a whole number, then 3 and 44,471,040.3333 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:

1 133,413,121
-1 -133,413,121

Let's try dividing by 4:

133,413,121 ÷ 4 = 33,353,280.25

If the quotient is a whole number, then 4 and 33,353,280.25 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:

1 133,413,121
-1 133,413,121
Keep dividing by the next highest number until you cannot divide anymore.

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

17383972276,0597,0818,05116,57118,84122,019587,7231,375,3931,607,3871,827,577133,413,121
-1-73-83-97-227-6,059-7,081-8,051-16,571-18,841-22,019-587,723-1,375,393-1,607,387-1,827,577-133,413,121

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