Q: What are the factor combinations of the number 32,562,089?

 A:
Positive:   1 x 325620897 x 465172717 x 191541723 x 1415743119 x 273631161 x 202249391 x 832792737 x 11897
Negative: -1 x -32562089-7 x -4651727-17 x -1915417-23 x -1415743-119 x -273631-161 x -202249-391 x -83279-2737 x -11897


How do I find the factor combinations of the number 32,562,089?

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 32,562,089, 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 32,562,089
-1 -32,562,089

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 32,562,089.

Example:
1 x 32,562,089 = 32,562,089
and
-1 x -32,562,089 = 32,562,089
Notice both answers equal 32,562,089

With that explanation out of the way, let's continue. Next, we take the number 32,562,089 and divide it by 2:

32,562,089 ÷ 2 = 16,281,044.5

If the quotient is a whole number, then 2 and 16,281,044.5 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 32,562,089
-1 -32,562,089

Now, we try dividing 32,562,089 by 3:

32,562,089 ÷ 3 = 10,854,029.6667

If the quotient is a whole number, then 3 and 10,854,029.6667 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 32,562,089
-1 -32,562,089

Let's try dividing by 4:

32,562,089 ÷ 4 = 8,140,522.25

If the quotient is a whole number, then 4 and 8,140,522.25 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 32,562,089
-1 32,562,089
Keep dividing by the next highest number until you cannot divide anymore.

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

1717231191613912,73711,89783,279202,249273,6311,415,7431,915,4174,651,72732,562,089
-1-7-17-23-119-161-391-2,737-11,897-83,279-202,249-273,631-1,415,743-1,915,417-4,651,727-32,562,089

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