Q: What are the factor combinations of the number 229,986,133?

 A:
Positive:   1 x 22998613313 x 1769124153 x 4339361541 x 425113617 x 372749689 x 3337977033 x 327018021 x 28673
Negative: -1 x -229986133-13 x -17691241-53 x -4339361-541 x -425113-617 x -372749-689 x -333797-7033 x -32701-8021 x -28673


How do I find the factor combinations of the number 229,986,133?

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 229,986,133, 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.

1 229,986,133
-1 -229,986,133

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 229,986,133.

Example:
1 x 229,986,133 = 229,986,133
and
-1 x -229,986,133 = 229,986,133
Notice both answers equal 229,986,133

With that explanation out of the way, let's continue. Next, we take the number 229,986,133 and divide it by 2:

229,986,133 ÷ 2 = 114,993,066.5

If the quotient is a whole number, then 2 and 114,993,066.5 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:

1 229,986,133
-1 -229,986,133

Now, we try dividing 229,986,133 by 3:

229,986,133 ÷ 3 = 76,662,044.3333

If the quotient is a whole number, then 3 and 76,662,044.3333 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:

1 229,986,133
-1 -229,986,133

Let's try dividing by 4:

229,986,133 ÷ 4 = 57,496,533.25

If the quotient is a whole number, then 4 and 57,496,533.25 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:

1 229,986,133
-1 229,986,133
Keep dividing by the next highest number until you cannot divide anymore.

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

113535416176897,0338,02128,67332,701333,797372,749425,1134,339,36117,691,241229,986,133
-1-13-53-541-617-689-7,033-8,021-28,673-32,701-333,797-372,749-425,113-4,339,361-17,691,241-229,986,133

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