Q: What are the factor combinations of the number 106,360,331?

 A:
Positive:   1 x 1063603317 x 1519433311 x 966912149 x 217061977 x 1381303121 x 879011539 x 197329847 x 1255735929 x 17939
Negative: -1 x -106360331-7 x -15194333-11 x -9669121-49 x -2170619-77 x -1381303-121 x -879011-539 x -197329-847 x -125573-5929 x -17939


How do I find the factor combinations of the number 106,360,331?

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 106,360,331, 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.

1 106,360,331
-1 -106,360,331

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 106,360,331.

Example:
1 x 106,360,331 = 106,360,331
and
-1 x -106,360,331 = 106,360,331
Notice both answers equal 106,360,331

With that explanation out of the way, let's continue. Next, we take the number 106,360,331 and divide it by 2:

106,360,331 ÷ 2 = 53,180,165.5

If the quotient is a whole number, then 2 and 53,180,165.5 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:

1 106,360,331
-1 -106,360,331

Now, we try dividing 106,360,331 by 3:

106,360,331 ÷ 3 = 35,453,443.6667

If the quotient is a whole number, then 3 and 35,453,443.6667 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:

1 106,360,331
-1 -106,360,331

Let's try dividing by 4:

106,360,331 ÷ 4 = 26,590,082.75

If the quotient is a whole number, then 4 and 26,590,082.75 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:

1 106,360,331
-1 106,360,331
Keep dividing by the next highest number until you cannot divide anymore.

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

171149771215398475,92917,939125,573197,329879,0111,381,3032,170,6199,669,12115,194,333106,360,331
-1-7-11-49-77-121-539-847-5,929-17,939-125,573-197,329-879,011-1,381,303-2,170,619-9,669,121-15,194,333-106,360,331

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 106,360,331:


Ask a Question