Q: What are the factor combinations of the number 107,836,135?

 A:
Positive:   1 x 1078361355 x 2156722711 x 980328531 x 347858555 x 1960657155 x 695717341 x 3162351705 x 63247
Negative: -1 x -107836135-5 x -21567227-11 x -9803285-31 x -3478585-55 x -1960657-155 x -695717-341 x -316235-1705 x -63247


How do I find the factor combinations of the number 107,836,135?

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 107,836,135, 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.

1 107,836,135
-1 -107,836,135

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 107,836,135.

Example:
1 x 107,836,135 = 107,836,135
and
-1 x -107,836,135 = 107,836,135
Notice both answers equal 107,836,135

With that explanation out of the way, let's continue. Next, we take the number 107,836,135 and divide it by 2:

107,836,135 ÷ 2 = 53,918,067.5

If the quotient is a whole number, then 2 and 53,918,067.5 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:

1 107,836,135
-1 -107,836,135

Now, we try dividing 107,836,135 by 3:

107,836,135 ÷ 3 = 35,945,378.3333

If the quotient is a whole number, then 3 and 35,945,378.3333 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:

1 107,836,135
-1 -107,836,135

Let's try dividing by 4:

107,836,135 ÷ 4 = 26,959,033.75

If the quotient is a whole number, then 4 and 26,959,033.75 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:

1 107,836,135
-1 107,836,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,70563,247316,235695,7171,960,6573,478,5859,803,28521,567,227107,836,135
-1-5-11-31-55-155-341-1,705-63,247-316,235-695,717-1,960,657-3,478,585-9,803,285-21,567,227-107,836,135

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 107,836,135:


Ask a Question