Q: What are the factor combinations of the number 55,300,133?

 A:
Positive:   1 x 553001337 x 790001917 x 3252949119 x 464707443 x 1248311049 x 527173101 x 178337343 x 7531
Negative: -1 x -55300133-7 x -7900019-17 x -3252949-119 x -464707-443 x -124831-1049 x -52717-3101 x -17833-7343 x -7531


How do I find the factor combinations of the number 55,300,133?

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 55,300,133, 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 55,300,133
-1 -55,300,133

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 55,300,133.

Example:
1 x 55,300,133 = 55,300,133
and
-1 x -55,300,133 = 55,300,133
Notice both answers equal 55,300,133

With that explanation out of the way, let's continue. Next, we take the number 55,300,133 and divide it by 2:

55,300,133 ÷ 2 = 27,650,066.5

If the quotient is a whole number, then 2 and 27,650,066.5 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 55,300,133
-1 -55,300,133

Now, we try dividing 55,300,133 by 3:

55,300,133 ÷ 3 = 18,433,377.6667

If the quotient is a whole number, then 3 and 18,433,377.6667 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 55,300,133
-1 -55,300,133

Let's try dividing by 4:

55,300,133 ÷ 4 = 13,825,033.25

If the quotient is a whole number, then 4 and 13,825,033.25 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 55,300,133
-1 55,300,133
Keep dividing by the next highest number until you cannot divide anymore.

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

17171194431,0493,1017,3437,53117,83352,717124,831464,7073,252,9497,900,01955,300,133
-1-7-17-119-443-1,049-3,101-7,343-7,531-17,833-52,717-124,831-464,707-3,252,949-7,900,019-55,300,133

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