Q: What are the factor combinations of the number 107,670,329?

 A:
Positive:   1 x 10767032913 x 8282333103 x 1045343191 x 563719421 x 2557491339 x 804112483 x 433635473 x 19673
Negative: -1 x -107670329-13 x -8282333-103 x -1045343-191 x -563719-421 x -255749-1339 x -80411-2483 x -43363-5473 x -19673


How do I find the factor combinations of the number 107,670,329?

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 107,670,329, 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.

1 107,670,329
-1 -107,670,329

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 107,670,329.

Example:
1 x 107,670,329 = 107,670,329
and
-1 x -107,670,329 = 107,670,329
Notice both answers equal 107,670,329

With that explanation out of the way, let's continue. Next, we take the number 107,670,329 and divide it by 2:

107,670,329 ÷ 2 = 53,835,164.5

If the quotient is a whole number, then 2 and 53,835,164.5 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:

1 107,670,329
-1 -107,670,329

Now, we try dividing 107,670,329 by 3:

107,670,329 ÷ 3 = 35,890,109.6667

If the quotient is a whole number, then 3 and 35,890,109.6667 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:

1 107,670,329
-1 -107,670,329

Let's try dividing by 4:

107,670,329 ÷ 4 = 26,917,582.25

If the quotient is a whole number, then 4 and 26,917,582.25 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:

1 107,670,329
-1 107,670,329
Keep dividing by the next highest number until you cannot divide anymore.

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

1131031914211,3392,4835,47319,67343,36380,411255,749563,7191,045,3438,282,333107,670,329
-1-13-103-191-421-1,339-2,483-5,473-19,673-43,363-80,411-255,749-563,719-1,045,343-8,282,333-107,670,329

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 107,670,329:


Ask a Question