Q: What are the factor combinations of the number 32,625,635?

 A:
Positive:   1 x 326256355 x 65251277 x 466080517 x 191915535 x 93216185 x 383831119 x 274165595 x 54833
Negative: -1 x -32625635-5 x -6525127-7 x -4660805-17 x -1919155-35 x -932161-85 x -383831-119 x -274165-595 x -54833


How do I find the factor combinations of the number 32,625,635?

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 32,625,635, 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 32,625,635
-1 -32,625,635

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 32,625,635.

Example:
1 x 32,625,635 = 32,625,635
and
-1 x -32,625,635 = 32,625,635
Notice both answers equal 32,625,635

With that explanation out of the way, let's continue. Next, we take the number 32,625,635 and divide it by 2:

32,625,635 ÷ 2 = 16,312,817.5

If the quotient is a whole number, then 2 and 16,312,817.5 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 32,625,635
-1 -32,625,635

Now, we try dividing 32,625,635 by 3:

32,625,635 ÷ 3 = 10,875,211.6667

If the quotient is a whole number, then 3 and 10,875,211.6667 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 32,625,635
-1 -32,625,635

Let's try dividing by 4:

32,625,635 ÷ 4 = 8,156,408.75

If the quotient is a whole number, then 4 and 8,156,408.75 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 32,625,635
-1 32,625,635
Keep dividing by the next highest number until you cannot divide anymore.

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

15717358511959554,833274,165383,831932,1611,919,1554,660,8056,525,12732,625,635
-1-5-7-17-35-85-119-595-54,833-274,165-383,831-932,161-1,919,155-4,660,805-6,525,127-32,625,635

More Examples

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