Q: What are the factor combinations of the number 33,110,231?

 A:
Positive:   1 x 331102317 x 473003311 x 301002147 x 70447349 x 67571977 x 430003329 x 100639517 x 64043539 x 614291307 x 253332303 x 143773619 x 9149
Negative: -1 x -33110231-7 x -4730033-11 x -3010021-47 x -704473-49 x -675719-77 x -430003-329 x -100639-517 x -64043-539 x -61429-1307 x -25333-2303 x -14377-3619 x -9149


How do I find the factor combinations of the number 33,110,231?

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 33,110,231, 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 33,110,231
-1 -33,110,231

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 33,110,231.

Example:
1 x 33,110,231 = 33,110,231
and
-1 x -33,110,231 = 33,110,231
Notice both answers equal 33,110,231

With that explanation out of the way, let's continue. Next, we take the number 33,110,231 and divide it by 2:

33,110,231 ÷ 2 = 16,555,115.5

If the quotient is a whole number, then 2 and 16,555,115.5 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 33,110,231
-1 -33,110,231

Now, we try dividing 33,110,231 by 3:

33,110,231 ÷ 3 = 11,036,743.6667

If the quotient is a whole number, then 3 and 11,036,743.6667 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 33,110,231
-1 -33,110,231

Let's try dividing by 4:

33,110,231 ÷ 4 = 8,277,557.75

If the quotient is a whole number, then 4 and 8,277,557.75 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 33,110,231
-1 33,110,231
Keep dividing by the next highest number until you cannot divide anymore.

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

17114749773295175391,3072,3033,6199,14914,37725,33361,42964,043100,639430,003675,719704,4733,010,0214,730,03333,110,231
-1-7-11-47-49-77-329-517-539-1,307-2,303-3,619-9,149-14,377-25,333-61,429-64,043-100,639-430,003-675,719-704,473-3,010,021-4,730,033-33,110,231

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