Q: What are the factor combinations of the number 234,120,133?

 A:
Positive:   1 x 23412013313 x 1800924153 x 4417361103 x 2273011689 x 3397971339 x 1748473299 x 709675459 x 42887
Negative: -1 x -234120133-13 x -18009241-53 x -4417361-103 x -2273011-689 x -339797-1339 x -174847-3299 x -70967-5459 x -42887


How do I find the factor combinations of the number 234,120,133?

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 234,120,133, 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.

1 234,120,133
-1 -234,120,133

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 234,120,133.

Example:
1 x 234,120,133 = 234,120,133
and
-1 x -234,120,133 = 234,120,133
Notice both answers equal 234,120,133

With that explanation out of the way, let's continue. Next, we take the number 234,120,133 and divide it by 2:

234,120,133 ÷ 2 = 117,060,066.5

If the quotient is a whole number, then 2 and 117,060,066.5 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:

1 234,120,133
-1 -234,120,133

Now, we try dividing 234,120,133 by 3:

234,120,133 ÷ 3 = 78,040,044.3333

If the quotient is a whole number, then 3 and 78,040,044.3333 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:

1 234,120,133
-1 -234,120,133

Let's try dividing by 4:

234,120,133 ÷ 4 = 58,530,033.25

If the quotient is a whole number, then 4 and 58,530,033.25 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:

1 234,120,133
-1 234,120,133
Keep dividing by the next highest number until you cannot divide anymore.

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

113531036891,3393,2995,45942,88770,967174,847339,7972,273,0114,417,36118,009,241234,120,133
-1-13-53-103-689-1,339-3,299-5,459-42,887-70,967-174,847-339,797-2,273,011-4,417,361-18,009,241-234,120,133

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