Q: What are the factor combinations of the number 108,035,215?

 A:
Positive:   1 x 1080352155 x 21607043151 x 715465755 x 143093
Negative: -1 x -108035215-5 x -21607043-151 x -715465-755 x -143093


How do I find the factor combinations of the number 108,035,215?

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 108,035,215, 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.

1 108,035,215
-1 -108,035,215

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 108,035,215.

Example:
1 x 108,035,215 = 108,035,215
and
-1 x -108,035,215 = 108,035,215
Notice both answers equal 108,035,215

With that explanation out of the way, let's continue. Next, we take the number 108,035,215 and divide it by 2:

108,035,215 ÷ 2 = 54,017,607.5

If the quotient is a whole number, then 2 and 54,017,607.5 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:

1 108,035,215
-1 -108,035,215

Now, we try dividing 108,035,215 by 3:

108,035,215 ÷ 3 = 36,011,738.3333

If the quotient is a whole number, then 3 and 36,011,738.3333 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:

1 108,035,215
-1 -108,035,215

Let's try dividing by 4:

108,035,215 ÷ 4 = 27,008,803.75

If the quotient is a whole number, then 4 and 27,008,803.75 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:

1 108,035,215
-1 108,035,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15151755143,093715,46521,607,043108,035,215
-1-5-151-755-143,093-715,465-21,607,043-108,035,215

More Examples

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