Q: What are the factor combinations of the number 33,129,875?

 A:
Positive:   1 x 331298755 x 662597525 x 1325195107 x 309625125 x 265039535 x 619252477 x 133752675 x 12385
Negative: -1 x -33129875-5 x -6625975-25 x -1325195-107 x -309625-125 x -265039-535 x -61925-2477 x -13375-2675 x -12385


How do I find the factor combinations of the number 33,129,875?

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 33,129,875, 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 33,129,875
-1 -33,129,875

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 33,129,875.

Example:
1 x 33,129,875 = 33,129,875
and
-1 x -33,129,875 = 33,129,875
Notice both answers equal 33,129,875

With that explanation out of the way, let's continue. Next, we take the number 33,129,875 and divide it by 2:

33,129,875 ÷ 2 = 16,564,937.5

If the quotient is a whole number, then 2 and 16,564,937.5 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 33,129,875
-1 -33,129,875

Now, we try dividing 33,129,875 by 3:

33,129,875 ÷ 3 = 11,043,291.6667

If the quotient is a whole number, then 3 and 11,043,291.6667 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 33,129,875
-1 -33,129,875

Let's try dividing by 4:

33,129,875 ÷ 4 = 8,282,468.75

If the quotient is a whole number, then 4 and 8,282,468.75 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 33,129,875
-1 33,129,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15251071255352,4772,67512,38513,37561,925265,039309,6251,325,1956,625,97533,129,875
-1-5-25-107-125-535-2,477-2,675-12,385-13,375-61,925-265,039-309,625-1,325,195-6,625,975-33,129,875

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