Q: What are the factor combinations of the number 120,027,139?

 A:
Positive:   1 x 12002713953 x 2264663211 x 56884910733 x 11183
Negative: -1 x -120027139-53 x -2264663-211 x -568849-10733 x -11183


How do I find the factor combinations of the number 120,027,139?

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 120,027,139, 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.

1 120,027,139
-1 -120,027,139

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 120,027,139.

Example:
1 x 120,027,139 = 120,027,139
and
-1 x -120,027,139 = 120,027,139
Notice both answers equal 120,027,139

With that explanation out of the way, let's continue. Next, we take the number 120,027,139 and divide it by 2:

120,027,139 ÷ 2 = 60,013,569.5

If the quotient is a whole number, then 2 and 60,013,569.5 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:

1 120,027,139
-1 -120,027,139

Now, we try dividing 120,027,139 by 3:

120,027,139 ÷ 3 = 40,009,046.3333

If the quotient is a whole number, then 3 and 40,009,046.3333 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:

1 120,027,139
-1 -120,027,139

Let's try dividing by 4:

120,027,139 ÷ 4 = 30,006,784.75

If the quotient is a whole number, then 4 and 30,006,784.75 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:

1 120,027,139
-1 120,027,139
Keep dividing by the next highest number until you cannot divide anymore.

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

15321110,73311,183568,8492,264,663120,027,139
-1-53-211-10,733-11,183-568,849-2,264,663-120,027,139

More Examples

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