Q: What are the factor combinations of the number 33,555,691?

 A:
Positive:   1 x 3355569113 x 258120719 x 176608973 x 459667247 x 135853949 x 353591387 x 241931861 x 18031
Negative: -1 x -33555691-13 x -2581207-19 x -1766089-73 x -459667-247 x -135853-949 x -35359-1387 x -24193-1861 x -18031


How do I find the factor combinations of the number 33,555,691?

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 33,555,691, 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 33,555,691
-1 -33,555,691

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 33,555,691.

Example:
1 x 33,555,691 = 33,555,691
and
-1 x -33,555,691 = 33,555,691
Notice both answers equal 33,555,691

With that explanation out of the way, let's continue. Next, we take the number 33,555,691 and divide it by 2:

33,555,691 ÷ 2 = 16,777,845.5

If the quotient is a whole number, then 2 and 16,777,845.5 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 33,555,691
-1 -33,555,691

Now, we try dividing 33,555,691 by 3:

33,555,691 ÷ 3 = 11,185,230.3333

If the quotient is a whole number, then 3 and 11,185,230.3333 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 33,555,691
-1 -33,555,691

Let's try dividing by 4:

33,555,691 ÷ 4 = 8,388,922.75

If the quotient is a whole number, then 4 and 8,388,922.75 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 33,555,691
-1 33,555,691
Keep dividing by the next highest number until you cannot divide anymore.

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

11319732479491,3871,86118,03124,19335,359135,853459,6671,766,0892,581,20733,555,691
-1-13-19-73-247-949-1,387-1,861-18,031-24,193-35,359-135,853-459,667-1,766,089-2,581,207-33,555,691

More Examples

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