Q: What are the factor combinations of the number 55,441,265?

 A:
Positive:   1 x 554412655 x 1108825311 x 504011555 x 1008023491 x 1129152053 x 270052455 x 225835401 x 10265
Negative: -1 x -55441265-5 x -11088253-11 x -5040115-55 x -1008023-491 x -112915-2053 x -27005-2455 x -22583-5401 x -10265


How do I find the factor combinations of the number 55,441,265?

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 55,441,265, 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 55,441,265
-1 -55,441,265

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 55,441,265.

Example:
1 x 55,441,265 = 55,441,265
and
-1 x -55,441,265 = 55,441,265
Notice both answers equal 55,441,265

With that explanation out of the way, let's continue. Next, we take the number 55,441,265 and divide it by 2:

55,441,265 ÷ 2 = 27,720,632.5

If the quotient is a whole number, then 2 and 27,720,632.5 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 55,441,265
-1 -55,441,265

Now, we try dividing 55,441,265 by 3:

55,441,265 ÷ 3 = 18,480,421.6667

If the quotient is a whole number, then 3 and 18,480,421.6667 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 55,441,265
-1 -55,441,265

Let's try dividing by 4:

55,441,265 ÷ 4 = 13,860,316.25

If the quotient is a whole number, then 4 and 13,860,316.25 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 55,441,265
-1 55,441,265
Keep dividing by the next highest number until you cannot divide anymore.

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

1511554912,0532,4555,40110,26522,58327,005112,9151,008,0235,040,11511,088,25355,441,265
-1-5-11-55-491-2,053-2,455-5,401-10,265-22,583-27,005-112,915-1,008,023-5,040,115-11,088,253-55,441,265

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