Q: What are the factor combinations of the number 33,580,927?

 A:
Positive:   1 x 3358092729 x 115796341 x 81904761 x 550507463 x 725291189 x 282431769 x 189832501 x 13427
Negative: -1 x -33580927-29 x -1157963-41 x -819047-61 x -550507-463 x -72529-1189 x -28243-1769 x -18983-2501 x -13427


How do I find the factor combinations of the number 33,580,927?

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 33,580,927, 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 33,580,927
-1 -33,580,927

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 33,580,927.

Example:
1 x 33,580,927 = 33,580,927
and
-1 x -33,580,927 = 33,580,927
Notice both answers equal 33,580,927

With that explanation out of the way, let's continue. Next, we take the number 33,580,927 and divide it by 2:

33,580,927 ÷ 2 = 16,790,463.5

If the quotient is a whole number, then 2 and 16,790,463.5 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 33,580,927
-1 -33,580,927

Now, we try dividing 33,580,927 by 3:

33,580,927 ÷ 3 = 11,193,642.3333

If the quotient is a whole number, then 3 and 11,193,642.3333 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 33,580,927
-1 -33,580,927

Let's try dividing by 4:

33,580,927 ÷ 4 = 8,395,231.75

If the quotient is a whole number, then 4 and 8,395,231.75 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 33,580,927
-1 33,580,927
Keep dividing by the next highest number until you cannot divide anymore.

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

12941614631,1891,7692,50113,42718,98328,24372,529550,507819,0471,157,96333,580,927
-1-29-41-61-463-1,189-1,769-2,501-13,427-18,983-28,243-72,529-550,507-819,047-1,157,963-33,580,927

More Examples

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