Q: What are the factor combinations of the number 32,255,531?

 A:
Positive:   1 x 322555317 x 460793311 x 293232131 x 104050177 x 418903217 x 148643341 x 945912387 x 13513
Negative: -1 x -32255531-7 x -4607933-11 x -2932321-31 x -1040501-77 x -418903-217 x -148643-341 x -94591-2387 x -13513


How do I find the factor combinations of the number 32,255,531?

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 32,255,531, 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 32,255,531
-1 -32,255,531

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 32,255,531.

Example:
1 x 32,255,531 = 32,255,531
and
-1 x -32,255,531 = 32,255,531
Notice both answers equal 32,255,531

With that explanation out of the way, let's continue. Next, we take the number 32,255,531 and divide it by 2:

32,255,531 ÷ 2 = 16,127,765.5

If the quotient is a whole number, then 2 and 16,127,765.5 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 32,255,531
-1 -32,255,531

Now, we try dividing 32,255,531 by 3:

32,255,531 ÷ 3 = 10,751,843.6667

If the quotient is a whole number, then 3 and 10,751,843.6667 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 32,255,531
-1 -32,255,531

Let's try dividing by 4:

32,255,531 ÷ 4 = 8,063,882.75

If the quotient is a whole number, then 4 and 8,063,882.75 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 32,255,531
-1 32,255,531
Keep dividing by the next highest number until you cannot divide anymore.

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

171131772173412,38713,51394,591148,643418,9031,040,5012,932,3214,607,93332,255,531
-1-7-11-31-77-217-341-2,387-13,513-94,591-148,643-418,903-1,040,501-2,932,321-4,607,933-32,255,531

More Examples

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