Q: What are the factor combinations of the number 33,182,045?

 A:
Positive:   1 x 331820455 x 663640913 x 255246517 x 195188565 x 51049385 x 390377221 x 1501451105 x 30029
Negative: -1 x -33182045-5 x -6636409-13 x -2552465-17 x -1951885-65 x -510493-85 x -390377-221 x -150145-1105 x -30029


How do I find the factor combinations of the number 33,182,045?

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 33,182,045, 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 33,182,045
-1 -33,182,045

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 33,182,045.

Example:
1 x 33,182,045 = 33,182,045
and
-1 x -33,182,045 = 33,182,045
Notice both answers equal 33,182,045

With that explanation out of the way, let's continue. Next, we take the number 33,182,045 and divide it by 2:

33,182,045 ÷ 2 = 16,591,022.5

If the quotient is a whole number, then 2 and 16,591,022.5 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 33,182,045
-1 -33,182,045

Now, we try dividing 33,182,045 by 3:

33,182,045 ÷ 3 = 11,060,681.6667

If the quotient is a whole number, then 3 and 11,060,681.6667 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 33,182,045
-1 -33,182,045

Let's try dividing by 4:

33,182,045 ÷ 4 = 8,295,511.25

If the quotient is a whole number, then 4 and 8,295,511.25 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 33,182,045
-1 33,182,045
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,10530,029150,145390,377510,4931,951,8852,552,4656,636,40933,182,045
-1-5-13-17-65-85-221-1,105-30,029-150,145-390,377-510,493-1,951,885-2,552,465-6,636,409-33,182,045

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 33,182,045:


Ask a Question