Q: What are the factor combinations of the number 120,063,289?

 A:
Positive:   1 x 12006328923 x 522014359 x 2034971103 x 1165663859 x 1397711357 x 884772369 x 506816077 x 19757
Negative: -1 x -120063289-23 x -5220143-59 x -2034971-103 x -1165663-859 x -139771-1357 x -88477-2369 x -50681-6077 x -19757


How do I find the factor combinations of the number 120,063,289?

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 120,063,289, 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.

1 120,063,289
-1 -120,063,289

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 120,063,289.

Example:
1 x 120,063,289 = 120,063,289
and
-1 x -120,063,289 = 120,063,289
Notice both answers equal 120,063,289

With that explanation out of the way, let's continue. Next, we take the number 120,063,289 and divide it by 2:

120,063,289 ÷ 2 = 60,031,644.5

If the quotient is a whole number, then 2 and 60,031,644.5 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:

1 120,063,289
-1 -120,063,289

Now, we try dividing 120,063,289 by 3:

120,063,289 ÷ 3 = 40,021,096.3333

If the quotient is a whole number, then 3 and 40,021,096.3333 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:

1 120,063,289
-1 -120,063,289

Let's try dividing by 4:

120,063,289 ÷ 4 = 30,015,822.25

If the quotient is a whole number, then 4 and 30,015,822.25 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:

1 120,063,289
-1 120,063,289
Keep dividing by the next highest number until you cannot divide anymore.

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

123591038591,3572,3696,07719,75750,68188,477139,7711,165,6632,034,9715,220,143120,063,289
-1-23-59-103-859-1,357-2,369-6,077-19,757-50,681-88,477-139,771-1,165,663-2,034,971-5,220,143-120,063,289

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