Q: What are the factor combinations of the number 171,823,301?

 A:
Positive:   1 x 17182330113 x 1321717717 x 1010725337 x 4643873221 x 777481481 x 357221629 x 2731698177 x 21013
Negative: -1 x -171823301-13 x -13217177-17 x -10107253-37 x -4643873-221 x -777481-481 x -357221-629 x -273169-8177 x -21013


How do I find the factor combinations of the number 171,823,301?

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 171,823,301, 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.

1 171,823,301
-1 -171,823,301

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 171,823,301.

Example:
1 x 171,823,301 = 171,823,301
and
-1 x -171,823,301 = 171,823,301
Notice both answers equal 171,823,301

With that explanation out of the way, let's continue. Next, we take the number 171,823,301 and divide it by 2:

171,823,301 ÷ 2 = 85,911,650.5

If the quotient is a whole number, then 2 and 85,911,650.5 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:

1 171,823,301
-1 -171,823,301

Now, we try dividing 171,823,301 by 3:

171,823,301 ÷ 3 = 57,274,433.6667

If the quotient is a whole number, then 3 and 57,274,433.6667 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:

1 171,823,301
-1 -171,823,301

Let's try dividing by 4:

171,823,301 ÷ 4 = 42,955,825.25

If the quotient is a whole number, then 4 and 42,955,825.25 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:

1 171,823,301
-1 171,823,301
Keep dividing by the next highest number until you cannot divide anymore.

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

11317372214816298,17721,013273,169357,221777,4814,643,87310,107,25313,217,177171,823,301
-1-13-17-37-221-481-629-8,177-21,013-273,169-357,221-777,481-4,643,873-10,107,253-13,217,177-171,823,301

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