Q: What are the factor combinations of the number 32,677,825?

 A:
Positive:   1 x 326778255 x 653556517 x 192222523 x 142077525 x 130711385 x 384445115 x 284155391 x 83575425 x 76889575 x 568311955 x 167153343 x 9775
Negative: -1 x -32677825-5 x -6535565-17 x -1922225-23 x -1420775-25 x -1307113-85 x -384445-115 x -284155-391 x -83575-425 x -76889-575 x -56831-1955 x -16715-3343 x -9775


How do I find the factor combinations of the number 32,677,825?

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 32,677,825, 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 32,677,825
-1 -32,677,825

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 32,677,825.

Example:
1 x 32,677,825 = 32,677,825
and
-1 x -32,677,825 = 32,677,825
Notice both answers equal 32,677,825

With that explanation out of the way, let's continue. Next, we take the number 32,677,825 and divide it by 2:

32,677,825 ÷ 2 = 16,338,912.5

If the quotient is a whole number, then 2 and 16,338,912.5 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 32,677,825
-1 -32,677,825

Now, we try dividing 32,677,825 by 3:

32,677,825 ÷ 3 = 10,892,608.3333

If the quotient is a whole number, then 3 and 10,892,608.3333 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 32,677,825
-1 -32,677,825

Let's try dividing by 4:

32,677,825 ÷ 4 = 8,169,456.25

If the quotient is a whole number, then 4 and 8,169,456.25 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 32,677,825
-1 32,677,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15172325851153914255751,9553,3439,77516,71556,83176,88983,575284,155384,4451,307,1131,420,7751,922,2256,535,56532,677,825
-1-5-17-23-25-85-115-391-425-575-1,955-3,343-9,775-16,715-56,831-76,889-83,575-284,155-384,445-1,307,113-1,420,775-1,922,225-6,535,565-32,677,825

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