Q: What are the factor combinations of the number 33,155,015?

 A:
Positive:   1 x 331550155 x 663100317 x 195029585 x 390059163 x 203405815 x 406812393 x 138552771 x 11965
Negative: -1 x -33155015-5 x -6631003-17 x -1950295-85 x -390059-163 x -203405-815 x -40681-2393 x -13855-2771 x -11965


How do I find the factor combinations of the number 33,155,015?

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 33,155,015, 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 33,155,015
-1 -33,155,015

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 33,155,015.

Example:
1 x 33,155,015 = 33,155,015
and
-1 x -33,155,015 = 33,155,015
Notice both answers equal 33,155,015

With that explanation out of the way, let's continue. Next, we take the number 33,155,015 and divide it by 2:

33,155,015 ÷ 2 = 16,577,507.5

If the quotient is a whole number, then 2 and 16,577,507.5 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 33,155,015
-1 -33,155,015

Now, we try dividing 33,155,015 by 3:

33,155,015 ÷ 3 = 11,051,671.6667

If the quotient is a whole number, then 3 and 11,051,671.6667 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 33,155,015
-1 -33,155,015

Let's try dividing by 4:

33,155,015 ÷ 4 = 8,288,753.75

If the quotient is a whole number, then 4 and 8,288,753.75 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 33,155,015
-1 33,155,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851638152,3932,77111,96513,85540,681203,405390,0591,950,2956,631,00333,155,015
-1-5-17-85-163-815-2,393-2,771-11,965-13,855-40,681-203,405-390,059-1,950,295-6,631,003-33,155,015

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 33,155,015:


Ask a Question