Q: What are the factor combinations of the number 32,555,725?

 A:
Positive:   1 x 325557255 x 651114525 x 130222947 x 692675103 x 316075235 x 138535269 x 121025515 x 632151175 x 277071345 x 242052575 x 126434841 x 6725
Negative: -1 x -32555725-5 x -6511145-25 x -1302229-47 x -692675-103 x -316075-235 x -138535-269 x -121025-515 x -63215-1175 x -27707-1345 x -24205-2575 x -12643-4841 x -6725


How do I find the factor combinations of the number 32,555,725?

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 32,555,725, 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 32,555,725
-1 -32,555,725

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 32,555,725.

Example:
1 x 32,555,725 = 32,555,725
and
-1 x -32,555,725 = 32,555,725
Notice both answers equal 32,555,725

With that explanation out of the way, let's continue. Next, we take the number 32,555,725 and divide it by 2:

32,555,725 ÷ 2 = 16,277,862.5

If the quotient is a whole number, then 2 and 16,277,862.5 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 32,555,725
-1 -32,555,725

Now, we try dividing 32,555,725 by 3:

32,555,725 ÷ 3 = 10,851,908.3333

If the quotient is a whole number, then 3 and 10,851,908.3333 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 32,555,725
-1 -32,555,725

Let's try dividing by 4:

32,555,725 ÷ 4 = 8,138,931.25

If the quotient is a whole number, then 4 and 8,138,931.25 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 32,555,725
-1 32,555,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1525471032352695151,1751,3452,5754,8416,72512,64324,20527,70763,215121,025138,535316,075692,6751,302,2296,511,14532,555,725
-1-5-25-47-103-235-269-515-1,175-1,345-2,575-4,841-6,725-12,643-24,205-27,707-63,215-121,025-138,535-316,075-692,675-1,302,229-6,511,145-32,555,725

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