Q: What are the factor combinations of the number 33,133,177?

 A:
Positive:   1 x 331331777 x 473331111 x 301210743 x 77053977 x 430301301 x 110077473 x 700493311 x 10007
Negative: -1 x -33133177-7 x -4733311-11 x -3012107-43 x -770539-77 x -430301-301 x -110077-473 x -70049-3311 x -10007


How do I find the factor combinations of the number 33,133,177?

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 33,133,177, 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 33,133,177
-1 -33,133,177

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 33,133,177.

Example:
1 x 33,133,177 = 33,133,177
and
-1 x -33,133,177 = 33,133,177
Notice both answers equal 33,133,177

With that explanation out of the way, let's continue. Next, we take the number 33,133,177 and divide it by 2:

33,133,177 ÷ 2 = 16,566,588.5

If the quotient is a whole number, then 2 and 16,566,588.5 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 33,133,177
-1 -33,133,177

Now, we try dividing 33,133,177 by 3:

33,133,177 ÷ 3 = 11,044,392.3333

If the quotient is a whole number, then 3 and 11,044,392.3333 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 33,133,177
-1 -33,133,177

Let's try dividing by 4:

33,133,177 ÷ 4 = 8,283,294.25

If the quotient is a whole number, then 4 and 8,283,294.25 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 33,133,177
-1 33,133,177
Keep dividing by the next highest number until you cannot divide anymore.

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

171143773014733,31110,00770,049110,077430,301770,5393,012,1074,733,31133,133,177
-1-7-11-43-77-301-473-3,311-10,007-70,049-110,077-430,301-770,539-3,012,107-4,733,311-33,133,177

More Examples

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