Q: What are the factor combinations of the number 32,323,027?

 A:
Positive:   1 x 3232302711 x 293845723 x 1405349251 x 128777253 x 127759509 x 635032761 x 117075599 x 5773
Negative: -1 x -32323027-11 x -2938457-23 x -1405349-251 x -128777-253 x -127759-509 x -63503-2761 x -11707-5599 x -5773


How do I find the factor combinations of the number 32,323,027?

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 32,323,027, 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 32,323,027
-1 -32,323,027

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 32,323,027.

Example:
1 x 32,323,027 = 32,323,027
and
-1 x -32,323,027 = 32,323,027
Notice both answers equal 32,323,027

With that explanation out of the way, let's continue. Next, we take the number 32,323,027 and divide it by 2:

32,323,027 ÷ 2 = 16,161,513.5

If the quotient is a whole number, then 2 and 16,161,513.5 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 32,323,027
-1 -32,323,027

Now, we try dividing 32,323,027 by 3:

32,323,027 ÷ 3 = 10,774,342.3333

If the quotient is a whole number, then 3 and 10,774,342.3333 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 32,323,027
-1 -32,323,027

Let's try dividing by 4:

32,323,027 ÷ 4 = 8,080,756.75

If the quotient is a whole number, then 4 and 8,080,756.75 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 32,323,027
-1 32,323,027
Keep dividing by the next highest number until you cannot divide anymore.

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

111232512535092,7615,5995,77311,70763,503127,759128,7771,405,3492,938,45732,323,027
-1-11-23-251-253-509-2,761-5,599-5,773-11,707-63,503-127,759-128,777-1,405,349-2,938,457-32,323,027

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