Q: What are the factor combinations of the number 107,231,065?
A:
Positive:
1 x 1072310655 x 21446213
Negative:
-1 x -107231065-5 x -21446213
A:
Positive:
1 x 1072310655 x 21446213
Negative:
-1 x -107231065-5 x -21446213
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 107,231,065, it is easier to work with a table - it's called factoring from the outside in.
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 | 107,231,065 | |
-1 | -107,231,065 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 107,231,065.
Example:
1 x 107,231,065 = 107,231,065
and
-1 x -107,231,065 = 107,231,065
Notice both answers equal 107,231,065
With that explanation out of the way, let's continue. Next, we take the number 107,231,065 and divide it by 2:
107,231,065 ÷ 2 = 53,615,532.5
If the quotient is a whole number, then 2 and 53,615,532.5 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 | 107,231,065 | |
-1 | -107,231,065 |
Now, we try dividing 107,231,065 by 3:
107,231,065 ÷ 3 = 35,743,688.3333
If the quotient is a whole number, then 3 and 35,743,688.3333 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 | 107,231,065 | |
-1 | -107,231,065 |
Let's try dividing by 4:
107,231,065 ÷ 4 = 26,807,766.25
If the quotient is a whole number, then 4 and 26,807,766.25 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 | 107,231,065 | |
-1 | 107,231,065 |
If you did it right, you will end up with this table:
1 | 5 | 21,446,213 | 107,231,065 |
-1 | -5 | -21,446,213 | -107,231,065 |
Here are some more numbers to try:
Try the factor calculator