Q: What are the factor combinations of the number 332,335,535?

 A:
Positive:   1 x 3323355355 x 664671077 x 4747650535 x 9495301607 x 5475053035 x 1095014249 x 7821515643 x 21245
Negative: -1 x -332335535-5 x -66467107-7 x -47476505-35 x -9495301-607 x -547505-3035 x -109501-4249 x -78215-15643 x -21245


How do I find the factor combinations of the number 332,335,535?

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 332,335,535, 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.

1 332,335,535
-1 -332,335,535

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 332,335,535.

Example:
1 x 332,335,535 = 332,335,535
and
-1 x -332,335,535 = 332,335,535
Notice both answers equal 332,335,535

With that explanation out of the way, let's continue. Next, we take the number 332,335,535 and divide it by 2:

332,335,535 ÷ 2 = 166,167,767.5

If the quotient is a whole number, then 2 and 166,167,767.5 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:

1 332,335,535
-1 -332,335,535

Now, we try dividing 332,335,535 by 3:

332,335,535 ÷ 3 = 110,778,511.6667

If the quotient is a whole number, then 3 and 110,778,511.6667 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:

1 332,335,535
-1 -332,335,535

Let's try dividing by 4:

332,335,535 ÷ 4 = 83,083,883.75

If the quotient is a whole number, then 4 and 83,083,883.75 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:

1 332,335,535
-1 332,335,535
Keep dividing by the next highest number until you cannot divide anymore.

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

157356073,0354,24915,64321,24578,215109,501547,5059,495,30147,476,50566,467,107332,335,535
-1-5-7-35-607-3,035-4,249-15,643-21,245-78,215-109,501-547,505-9,495,301-47,476,505-66,467,107-332,335,535

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