Q: What are the factor combinations of the number 107,170,255?

 A:
Positive:   1 x 1071702555 x 2143405131 x 345710559 x 1816445155 x 691421295 x 3632891829 x 585959145 x 11719
Negative: -1 x -107170255-5 x -21434051-31 x -3457105-59 x -1816445-155 x -691421-295 x -363289-1829 x -58595-9145 x -11719


How do I find the factor combinations of the number 107,170,255?

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 107,170,255, 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.

1 107,170,255
-1 -107,170,255

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 107,170,255.

Example:
1 x 107,170,255 = 107,170,255
and
-1 x -107,170,255 = 107,170,255
Notice both answers equal 107,170,255

With that explanation out of the way, let's continue. Next, we take the number 107,170,255 and divide it by 2:

107,170,255 ÷ 2 = 53,585,127.5

If the quotient is a whole number, then 2 and 53,585,127.5 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:

1 107,170,255
-1 -107,170,255

Now, we try dividing 107,170,255 by 3:

107,170,255 ÷ 3 = 35,723,418.3333

If the quotient is a whole number, then 3 and 35,723,418.3333 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:

1 107,170,255
-1 -107,170,255

Let's try dividing by 4:

107,170,255 ÷ 4 = 26,792,563.75

If the quotient is a whole number, then 4 and 26,792,563.75 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:

1 107,170,255
-1 107,170,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1531591552951,8299,14511,71958,595363,289691,4211,816,4453,457,10521,434,051107,170,255
-1-5-31-59-155-295-1,829-9,145-11,719-58,595-363,289-691,421-1,816,445-3,457,105-21,434,051-107,170,255

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 107,170,255:


Ask a Question