Q: What are the factor combinations of the number 33,392,677?

 A:
Positive:   1 x 333926771213 x 27529
Negative: -1 x -33392677-1213 x -27529


How do I find the factor combinations of the number 33,392,677?

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 33,392,677, 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 33,392,677
-1 -33,392,677

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 33,392,677.

Example:
1 x 33,392,677 = 33,392,677
and
-1 x -33,392,677 = 33,392,677
Notice both answers equal 33,392,677

With that explanation out of the way, let's continue. Next, we take the number 33,392,677 and divide it by 2:

33,392,677 ÷ 2 = 16,696,338.5

If the quotient is a whole number, then 2 and 16,696,338.5 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 33,392,677
-1 -33,392,677

Now, we try dividing 33,392,677 by 3:

33,392,677 ÷ 3 = 11,130,892.3333

If the quotient is a whole number, then 3 and 11,130,892.3333 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 33,392,677
-1 -33,392,677

Let's try dividing by 4:

33,392,677 ÷ 4 = 8,348,169.25

If the quotient is a whole number, then 4 and 8,348,169.25 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 33,392,677
-1 33,392,677
Keep dividing by the next highest number until you cannot divide anymore.

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

11,21327,52933,392,677
-1-1,213-27,529-33,392,677

More Examples

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