Q: What are the factor combinations of the number 33,202,309?

 A:
Positive:   1 x 332023097 x 474318717 x 195307759 x 562751119 x 279011413 x 803931003 x 331034729 x 7021
Negative: -1 x -33202309-7 x -4743187-17 x -1953077-59 x -562751-119 x -279011-413 x -80393-1003 x -33103-4729 x -7021


How do I find the factor combinations of the number 33,202,309?

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 33,202,309, 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 33,202,309
-1 -33,202,309

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 33,202,309.

Example:
1 x 33,202,309 = 33,202,309
and
-1 x -33,202,309 = 33,202,309
Notice both answers equal 33,202,309

With that explanation out of the way, let's continue. Next, we take the number 33,202,309 and divide it by 2:

33,202,309 ÷ 2 = 16,601,154.5

If the quotient is a whole number, then 2 and 16,601,154.5 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 33,202,309
-1 -33,202,309

Now, we try dividing 33,202,309 by 3:

33,202,309 ÷ 3 = 11,067,436.3333

If the quotient is a whole number, then 3 and 11,067,436.3333 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 33,202,309
-1 -33,202,309

Let's try dividing by 4:

33,202,309 ÷ 4 = 8,300,577.25

If the quotient is a whole number, then 4 and 8,300,577.25 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 33,202,309
-1 33,202,309
Keep dividing by the next highest number until you cannot divide anymore.

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

1717591194131,0034,7297,02133,10380,393279,011562,7511,953,0774,743,18733,202,309
-1-7-17-59-119-413-1,003-4,729-7,021-33,103-80,393-279,011-562,751-1,953,077-4,743,187-33,202,309

More Examples

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