Q: What are the factor combinations of the number 55,193,381?

 A:
Positive:   1 x 5519338137 x 149171343 x 1283567113 x 488437307 x 1797831591 x 346914181 x 132014859 x 11359
Negative: -1 x -55193381-37 x -1491713-43 x -1283567-113 x -488437-307 x -179783-1591 x -34691-4181 x -13201-4859 x -11359


How do I find the factor combinations of the number 55,193,381?

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 55,193,381, 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 55,193,381
-1 -55,193,381

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 55,193,381.

Example:
1 x 55,193,381 = 55,193,381
and
-1 x -55,193,381 = 55,193,381
Notice both answers equal 55,193,381

With that explanation out of the way, let's continue. Next, we take the number 55,193,381 and divide it by 2:

55,193,381 ÷ 2 = 27,596,690.5

If the quotient is a whole number, then 2 and 27,596,690.5 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 55,193,381
-1 -55,193,381

Now, we try dividing 55,193,381 by 3:

55,193,381 ÷ 3 = 18,397,793.6667

If the quotient is a whole number, then 3 and 18,397,793.6667 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 55,193,381
-1 -55,193,381

Let's try dividing by 4:

55,193,381 ÷ 4 = 13,798,345.25

If the quotient is a whole number, then 4 and 13,798,345.25 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 55,193,381
-1 55,193,381
Keep dividing by the next highest number until you cannot divide anymore.

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

137431133071,5914,1814,85911,35913,20134,691179,783488,4371,283,5671,491,71355,193,381
-1-37-43-113-307-1,591-4,181-4,859-11,359-13,201-34,691-179,783-488,437-1,283,567-1,491,713-55,193,381

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