Q: What are the factor combinations of the number 120,200,515?

 A:
Positive:   1 x 1202005155 x 2404010371 x 1692965355 x 338593547 x 219745619 x 1941852735 x 439493095 x 38837
Negative: -1 x -120200515-5 x -24040103-71 x -1692965-355 x -338593-547 x -219745-619 x -194185-2735 x -43949-3095 x -38837


How do I find the factor combinations of the number 120,200,515?

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 120,200,515, 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.

1 120,200,515
-1 -120,200,515

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 120,200,515.

Example:
1 x 120,200,515 = 120,200,515
and
-1 x -120,200,515 = 120,200,515
Notice both answers equal 120,200,515

With that explanation out of the way, let's continue. Next, we take the number 120,200,515 and divide it by 2:

120,200,515 ÷ 2 = 60,100,257.5

If the quotient is a whole number, then 2 and 60,100,257.5 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:

1 120,200,515
-1 -120,200,515

Now, we try dividing 120,200,515 by 3:

120,200,515 ÷ 3 = 40,066,838.3333

If the quotient is a whole number, then 3 and 40,066,838.3333 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:

1 120,200,515
-1 -120,200,515

Let's try dividing by 4:

120,200,515 ÷ 4 = 30,050,128.75

If the quotient is a whole number, then 4 and 30,050,128.75 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:

1 120,200,515
-1 120,200,515
Keep dividing by the next highest number until you cannot divide anymore.

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

15713555476192,7353,09538,83743,949194,185219,745338,5931,692,96524,040,103120,200,515
-1-5-71-355-547-619-2,735-3,095-38,837-43,949-194,185-219,745-338,593-1,692,965-24,040,103-120,200,515

More Examples

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