Q: What are the factor combinations of the number 33,200,531?

 A:
Positive:   1 x 332005317 x 474293313 x 255388761 x 54427191 x 364841427 x 77753793 x 418675551 x 5981
Negative: -1 x -33200531-7 x -4742933-13 x -2553887-61 x -544271-91 x -364841-427 x -77753-793 x -41867-5551 x -5981


How do I find the factor combinations of the number 33,200,531?

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 33,200,531, 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 33,200,531
-1 -33,200,531

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 33,200,531.

Example:
1 x 33,200,531 = 33,200,531
and
-1 x -33,200,531 = 33,200,531
Notice both answers equal 33,200,531

With that explanation out of the way, let's continue. Next, we take the number 33,200,531 and divide it by 2:

33,200,531 ÷ 2 = 16,600,265.5

If the quotient is a whole number, then 2 and 16,600,265.5 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 33,200,531
-1 -33,200,531

Now, we try dividing 33,200,531 by 3:

33,200,531 ÷ 3 = 11,066,843.6667

If the quotient is a whole number, then 3 and 11,066,843.6667 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 33,200,531
-1 -33,200,531

Let's try dividing by 4:

33,200,531 ÷ 4 = 8,300,132.75

If the quotient is a whole number, then 4 and 8,300,132.75 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 33,200,531
-1 33,200,531
Keep dividing by the next highest number until you cannot divide anymore.

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

171361914277935,5515,98141,86777,753364,841544,2712,553,8874,742,93333,200,531
-1-7-13-61-91-427-793-5,551-5,981-41,867-77,753-364,841-544,271-2,553,887-4,742,933-33,200,531

More Examples

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