Q: What are the factor combinations of the number 33,033,575?

 A:
Positive:   1 x 330335755 x 660671525 x 132134353 x 623275107 x 308725233 x 141775265 x 124655535 x 617451165 x 283551325 x 249312675 x 123495671 x 5825
Negative: -1 x -33033575-5 x -6606715-25 x -1321343-53 x -623275-107 x -308725-233 x -141775-265 x -124655-535 x -61745-1165 x -28355-1325 x -24931-2675 x -12349-5671 x -5825


How do I find the factor combinations of the number 33,033,575?

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 33,033,575, 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 33,033,575
-1 -33,033,575

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 33,033,575.

Example:
1 x 33,033,575 = 33,033,575
and
-1 x -33,033,575 = 33,033,575
Notice both answers equal 33,033,575

With that explanation out of the way, let's continue. Next, we take the number 33,033,575 and divide it by 2:

33,033,575 ÷ 2 = 16,516,787.5

If the quotient is a whole number, then 2 and 16,516,787.5 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 33,033,575
-1 -33,033,575

Now, we try dividing 33,033,575 by 3:

33,033,575 ÷ 3 = 11,011,191.6667

If the quotient is a whole number, then 3 and 11,011,191.6667 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 33,033,575
-1 -33,033,575

Let's try dividing by 4:

33,033,575 ÷ 4 = 8,258,393.75

If the quotient is a whole number, then 4 and 8,258,393.75 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 33,033,575
-1 33,033,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1525531072332655351,1651,3252,6755,6715,82512,34924,93128,35561,745124,655141,775308,725623,2751,321,3436,606,71533,033,575
-1-5-25-53-107-233-265-535-1,165-1,325-2,675-5,671-5,825-12,349-24,931-28,355-61,745-124,655-141,775-308,725-623,275-1,321,343-6,606,715-33,033,575

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