Q: What are the factor combinations of the number 120,707,171?

 A:
Positive:   1 x 12070717113 x 928516719 x 635300971 x 1700101247 x 488693923 x 1307771349 x 894796883 x 17537
Negative: -1 x -120707171-13 x -9285167-19 x -6353009-71 x -1700101-247 x -488693-923 x -130777-1349 x -89479-6883 x -17537


How do I find the factor combinations of the number 120,707,171?

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 120,707,171, 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.

1 120,707,171
-1 -120,707,171

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 120,707,171.

Example:
1 x 120,707,171 = 120,707,171
and
-1 x -120,707,171 = 120,707,171
Notice both answers equal 120,707,171

With that explanation out of the way, let's continue. Next, we take the number 120,707,171 and divide it by 2:

120,707,171 ÷ 2 = 60,353,585.5

If the quotient is a whole number, then 2 and 60,353,585.5 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:

1 120,707,171
-1 -120,707,171

Now, we try dividing 120,707,171 by 3:

120,707,171 ÷ 3 = 40,235,723.6667

If the quotient is a whole number, then 3 and 40,235,723.6667 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:

1 120,707,171
-1 -120,707,171

Let's try dividing by 4:

120,707,171 ÷ 4 = 30,176,792.75

If the quotient is a whole number, then 4 and 30,176,792.75 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:

1 120,707,171
-1 120,707,171
Keep dividing by the next highest number until you cannot divide anymore.

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

11319712479231,3496,88317,53789,479130,777488,6931,700,1016,353,0099,285,167120,707,171
-1-13-19-71-247-923-1,349-6,883-17,537-89,479-130,777-488,693-1,700,101-6,353,009-9,285,167-120,707,171

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