Q: What are the factor combinations of the number 120,161,041?

 A:
Positive:   1 x 1201610417 x 1716586311 x 1092373113 x 924315777 x 156053391 x 1320451143 x 8402871001 x 120041
Negative: -1 x -120161041-7 x -17165863-11 x -10923731-13 x -9243157-77 x -1560533-91 x -1320451-143 x -840287-1001 x -120041


How do I find the factor combinations of the number 120,161,041?

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 120,161,041, 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.

1 120,161,041
-1 -120,161,041

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 120,161,041.

Example:
1 x 120,161,041 = 120,161,041
and
-1 x -120,161,041 = 120,161,041
Notice both answers equal 120,161,041

With that explanation out of the way, let's continue. Next, we take the number 120,161,041 and divide it by 2:

120,161,041 ÷ 2 = 60,080,520.5

If the quotient is a whole number, then 2 and 60,080,520.5 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:

1 120,161,041
-1 -120,161,041

Now, we try dividing 120,161,041 by 3:

120,161,041 ÷ 3 = 40,053,680.3333

If the quotient is a whole number, then 3 and 40,053,680.3333 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:

1 120,161,041
-1 -120,161,041

Let's try dividing by 4:

120,161,041 ÷ 4 = 30,040,260.25

If the quotient is a whole number, then 4 and 30,040,260.25 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:

1 120,161,041
-1 120,161,041
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,001120,041840,2871,320,4511,560,5339,243,15710,923,73117,165,863120,161,041
-1-7-11-13-77-91-143-1,001-120,041-840,287-1,320,451-1,560,533-9,243,157-10,923,731-17,165,863-120,161,041

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