Q: What are the factor combinations of the number 55,021,129?

 A:
Positive:   1 x 5502112917 x 323653723 x 2392223109 x 504781391 x 1407191291 x 426191853 x 296932507 x 21947
Negative: -1 x -55021129-17 x -3236537-23 x -2392223-109 x -504781-391 x -140719-1291 x -42619-1853 x -29693-2507 x -21947


How do I find the factor combinations of the number 55,021,129?

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 55,021,129, 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 55,021,129
-1 -55,021,129

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 55,021,129.

Example:
1 x 55,021,129 = 55,021,129
and
-1 x -55,021,129 = 55,021,129
Notice both answers equal 55,021,129

With that explanation out of the way, let's continue. Next, we take the number 55,021,129 and divide it by 2:

55,021,129 ÷ 2 = 27,510,564.5

If the quotient is a whole number, then 2 and 27,510,564.5 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 55,021,129
-1 -55,021,129

Now, we try dividing 55,021,129 by 3:

55,021,129 ÷ 3 = 18,340,376.3333

If the quotient is a whole number, then 3 and 18,340,376.3333 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 55,021,129
-1 -55,021,129

Let's try dividing by 4:

55,021,129 ÷ 4 = 13,755,282.25

If the quotient is a whole number, then 4 and 13,755,282.25 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 55,021,129
-1 55,021,129
Keep dividing by the next highest number until you cannot divide anymore.

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

117231093911,2911,8532,50721,94729,69342,619140,719504,7812,392,2233,236,53755,021,129
-1-17-23-109-391-1,291-1,853-2,507-21,947-29,693-42,619-140,719-504,781-2,392,223-3,236,537-55,021,129

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