Q: What are the factor combinations of the number 133,232,429?

 A:
Positive:   1 x 13323242911 x 12112039227 x 586927229 x 581801233 x 5718132497 x 533572519 x 528912563 x 51983
Negative: -1 x -133232429-11 x -12112039-227 x -586927-229 x -581801-233 x -571813-2497 x -53357-2519 x -52891-2563 x -51983


How do I find the factor combinations of the number 133,232,429?

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 133,232,429, 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.

1 133,232,429
-1 -133,232,429

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 133,232,429.

Example:
1 x 133,232,429 = 133,232,429
and
-1 x -133,232,429 = 133,232,429
Notice both answers equal 133,232,429

With that explanation out of the way, let's continue. Next, we take the number 133,232,429 and divide it by 2:

133,232,429 ÷ 2 = 66,616,214.5

If the quotient is a whole number, then 2 and 66,616,214.5 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:

1 133,232,429
-1 -133,232,429

Now, we try dividing 133,232,429 by 3:

133,232,429 ÷ 3 = 44,410,809.6667

If the quotient is a whole number, then 3 and 44,410,809.6667 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:

1 133,232,429
-1 -133,232,429

Let's try dividing by 4:

133,232,429 ÷ 4 = 33,308,107.25

If the quotient is a whole number, then 4 and 33,308,107.25 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:

1 133,232,429
-1 133,232,429
Keep dividing by the next highest number until you cannot divide anymore.

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

1112272292332,4972,5192,56351,98352,89153,357571,813581,801586,92712,112,039133,232,429
-1-11-227-229-233-2,497-2,519-2,563-51,983-52,891-53,357-571,813-581,801-586,927-12,112,039-133,232,429

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