Q: What are the factor combinations of the number 32,236,025?

 A:
Positive:   1 x 322360255 x 644720525 x 128944143 x 749675157 x 205325191 x 168775215 x 149935785 x 41065955 x 337551075 x 299873925 x 82134775 x 6751
Negative: -1 x -32236025-5 x -6447205-25 x -1289441-43 x -749675-157 x -205325-191 x -168775-215 x -149935-785 x -41065-955 x -33755-1075 x -29987-3925 x -8213-4775 x -6751


How do I find the factor combinations of the number 32,236,025?

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 32,236,025, 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 32,236,025
-1 -32,236,025

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 32,236,025.

Example:
1 x 32,236,025 = 32,236,025
and
-1 x -32,236,025 = 32,236,025
Notice both answers equal 32,236,025

With that explanation out of the way, let's continue. Next, we take the number 32,236,025 and divide it by 2:

32,236,025 ÷ 2 = 16,118,012.5

If the quotient is a whole number, then 2 and 16,118,012.5 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 32,236,025
-1 -32,236,025

Now, we try dividing 32,236,025 by 3:

32,236,025 ÷ 3 = 10,745,341.6667

If the quotient is a whole number, then 3 and 10,745,341.6667 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 32,236,025
-1 -32,236,025

Let's try dividing by 4:

32,236,025 ÷ 4 = 8,059,006.25

If the quotient is a whole number, then 4 and 8,059,006.25 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 32,236,025
-1 32,236,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1525431571912157859551,0753,9254,7756,7518,21329,98733,75541,065149,935168,775205,325749,6751,289,4416,447,20532,236,025
-1-5-25-43-157-191-215-785-955-1,075-3,925-4,775-6,751-8,213-29,987-33,755-41,065-149,935-168,775-205,325-749,675-1,289,441-6,447,205-32,236,025

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