Q: What are the factor combinations of the number 133,320,131?

 A:
Positive:   1 x 1333201317 x 1904573319 x 701684949 x 272081989 x 1497979133 x 1002407623 x 213997931 x 1432011609 x 828591691 x 788414361 x 3057111263 x 11837
Negative: -1 x -133320131-7 x -19045733-19 x -7016849-49 x -2720819-89 x -1497979-133 x -1002407-623 x -213997-931 x -143201-1609 x -82859-1691 x -78841-4361 x -30571-11263 x -11837


How do I find the factor combinations of the number 133,320,131?

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 133,320,131, 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.

1 133,320,131
-1 -133,320,131

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 133,320,131.

Example:
1 x 133,320,131 = 133,320,131
and
-1 x -133,320,131 = 133,320,131
Notice both answers equal 133,320,131

With that explanation out of the way, let's continue. Next, we take the number 133,320,131 and divide it by 2:

133,320,131 ÷ 2 = 66,660,065.5

If the quotient is a whole number, then 2 and 66,660,065.5 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:

1 133,320,131
-1 -133,320,131

Now, we try dividing 133,320,131 by 3:

133,320,131 ÷ 3 = 44,440,043.6667

If the quotient is a whole number, then 3 and 44,440,043.6667 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:

1 133,320,131
-1 -133,320,131

Let's try dividing by 4:

133,320,131 ÷ 4 = 33,330,032.75

If the quotient is a whole number, then 4 and 33,330,032.75 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:

1 133,320,131
-1 133,320,131
Keep dividing by the next highest number until you cannot divide anymore.

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

171949891336239311,6091,6914,36111,26311,83730,57178,84182,859143,201213,9971,002,4071,497,9792,720,8197,016,84919,045,733133,320,131
-1-7-19-49-89-133-623-931-1,609-1,691-4,361-11,263-11,837-30,571-78,841-82,859-143,201-213,997-1,002,407-1,497,979-2,720,819-7,016,849-19,045,733-133,320,131

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