Q: What are the factor combinations of the number 33,636,523?

 A:
Positive:   1 x 3363652317 x 197861941 x 820403697 x 48259
Negative: -1 x -33636523-17 x -1978619-41 x -820403-697 x -48259


How do I find the factor combinations of the number 33,636,523?

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 33,636,523, 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 33,636,523
-1 -33,636,523

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 33,636,523.

Example:
1 x 33,636,523 = 33,636,523
and
-1 x -33,636,523 = 33,636,523
Notice both answers equal 33,636,523

With that explanation out of the way, let's continue. Next, we take the number 33,636,523 and divide it by 2:

33,636,523 ÷ 2 = 16,818,261.5

If the quotient is a whole number, then 2 and 16,818,261.5 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 33,636,523
-1 -33,636,523

Now, we try dividing 33,636,523 by 3:

33,636,523 ÷ 3 = 11,212,174.3333

If the quotient is a whole number, then 3 and 11,212,174.3333 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 33,636,523
-1 -33,636,523

Let's try dividing by 4:

33,636,523 ÷ 4 = 8,409,130.75

If the quotient is a whole number, then 4 and 8,409,130.75 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 33,636,523
-1 33,636,523
Keep dividing by the next highest number until you cannot divide anymore.

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

1174169748,259820,4031,978,61933,636,523
-1-17-41-697-48,259-820,403-1,978,619-33,636,523

More Examples

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