Q: What are the factor combinations of the number 32,555,755?

 A:
Positive:   1 x 325557555 x 651115189 x 365795149 x 218495445 x 73159491 x 66305745 x 436992455 x 13261
Negative: -1 x -32555755-5 x -6511151-89 x -365795-149 x -218495-445 x -73159-491 x -66305-745 x -43699-2455 x -13261


How do I find the factor combinations of the number 32,555,755?

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 32,555,755, 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 32,555,755
-1 -32,555,755

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 32,555,755.

Example:
1 x 32,555,755 = 32,555,755
and
-1 x -32,555,755 = 32,555,755
Notice both answers equal 32,555,755

With that explanation out of the way, let's continue. Next, we take the number 32,555,755 and divide it by 2:

32,555,755 ÷ 2 = 16,277,877.5

If the quotient is a whole number, then 2 and 16,277,877.5 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 32,555,755
-1 -32,555,755

Now, we try dividing 32,555,755 by 3:

32,555,755 ÷ 3 = 10,851,918.3333

If the quotient is a whole number, then 3 and 10,851,918.3333 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 32,555,755
-1 -32,555,755

Let's try dividing by 4:

32,555,755 ÷ 4 = 8,138,938.75

If the quotient is a whole number, then 4 and 8,138,938.75 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 32,555,755
-1 32,555,755
Keep dividing by the next highest number until you cannot divide anymore.

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

15891494454917452,45513,26143,69966,30573,159218,495365,7956,511,15132,555,755
-1-5-89-149-445-491-745-2,455-13,261-43,699-66,305-73,159-218,495-365,795-6,511,151-32,555,755

More Examples

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