Q: What are the factor combinations of the number 120,050,065?

 A:
Positive:   1 x 1200500655 x 240100132677 x 448458969 x 13385
Negative: -1 x -120050065-5 x -24010013-2677 x -44845-8969 x -13385


How do I find the factor combinations of the number 120,050,065?

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 120,050,065, 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.

1 120,050,065
-1 -120,050,065

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 120,050,065.

Example:
1 x 120,050,065 = 120,050,065
and
-1 x -120,050,065 = 120,050,065
Notice both answers equal 120,050,065

With that explanation out of the way, let's continue. Next, we take the number 120,050,065 and divide it by 2:

120,050,065 ÷ 2 = 60,025,032.5

If the quotient is a whole number, then 2 and 60,025,032.5 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:

1 120,050,065
-1 -120,050,065

Now, we try dividing 120,050,065 by 3:

120,050,065 ÷ 3 = 40,016,688.3333

If the quotient is a whole number, then 3 and 40,016,688.3333 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:

1 120,050,065
-1 -120,050,065

Let's try dividing by 4:

120,050,065 ÷ 4 = 30,012,516.25

If the quotient is a whole number, then 4 and 30,012,516.25 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:

1 120,050,065
-1 120,050,065
Keep dividing by the next highest number until you cannot divide anymore.

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

152,6778,96913,38544,84524,010,013120,050,065
-1-5-2,677-8,969-13,385-44,845-24,010,013-120,050,065

More Examples

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