Q: What are the factor combinations of the number 55,080,833?

 A:
Positive:   1 x 5508083317 x 324004953 x 1039261113 x 487441541 x 101813901 x 611331921 x 286735989 x 9197
Negative: -1 x -55080833-17 x -3240049-53 x -1039261-113 x -487441-541 x -101813-901 x -61133-1921 x -28673-5989 x -9197


How do I find the factor combinations of the number 55,080,833?

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 55,080,833, 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 55,080,833
-1 -55,080,833

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 55,080,833.

Example:
1 x 55,080,833 = 55,080,833
and
-1 x -55,080,833 = 55,080,833
Notice both answers equal 55,080,833

With that explanation out of the way, let's continue. Next, we take the number 55,080,833 and divide it by 2:

55,080,833 ÷ 2 = 27,540,416.5

If the quotient is a whole number, then 2 and 27,540,416.5 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 55,080,833
-1 -55,080,833

Now, we try dividing 55,080,833 by 3:

55,080,833 ÷ 3 = 18,360,277.6667

If the quotient is a whole number, then 3 and 18,360,277.6667 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 55,080,833
-1 -55,080,833

Let's try dividing by 4:

55,080,833 ÷ 4 = 13,770,208.25

If the quotient is a whole number, then 4 and 13,770,208.25 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 55,080,833
-1 55,080,833
Keep dividing by the next highest number until you cannot divide anymore.

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

117531135419011,9215,9899,19728,67361,133101,813487,4411,039,2613,240,04955,080,833
-1-17-53-113-541-901-1,921-5,989-9,197-28,673-61,133-101,813-487,441-1,039,261-3,240,049-55,080,833

More Examples

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