Q: What are the factor combinations of the number 33,240,197?

 A:
Positive:   1 x 33240197157 x 211721193 x 1722291097 x 30301
Negative: -1 x -33240197-157 x -211721-193 x -172229-1097 x -30301


How do I find the factor combinations of the number 33,240,197?

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 33,240,197, 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 33,240,197
-1 -33,240,197

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 33,240,197.

Example:
1 x 33,240,197 = 33,240,197
and
-1 x -33,240,197 = 33,240,197
Notice both answers equal 33,240,197

With that explanation out of the way, let's continue. Next, we take the number 33,240,197 and divide it by 2:

33,240,197 ÷ 2 = 16,620,098.5

If the quotient is a whole number, then 2 and 16,620,098.5 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 33,240,197
-1 -33,240,197

Now, we try dividing 33,240,197 by 3:

33,240,197 ÷ 3 = 11,080,065.6667

If the quotient is a whole number, then 3 and 11,080,065.6667 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 33,240,197
-1 -33,240,197

Let's try dividing by 4:

33,240,197 ÷ 4 = 8,310,049.25

If the quotient is a whole number, then 4 and 8,310,049.25 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 33,240,197
-1 33,240,197
Keep dividing by the next highest number until you cannot divide anymore.

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

11571931,09730,301172,229211,72133,240,197
-1-157-193-1,097-30,301-172,229-211,721-33,240,197

More Examples

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