Q: What are the factor combinations of the number 107,590,097?
A:
Positive:
1 x 10759009747 x 2289151
Negative:
-1 x -107590097-47 x -2289151
A:
Positive:
1 x 10759009747 x 2289151
Negative:
-1 x -107590097-47 x -2289151
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 107,590,097, 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 | 107,590,097 | |
-1 | -107,590,097 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 107,590,097.
Example:
1 x 107,590,097 = 107,590,097
and
-1 x -107,590,097 = 107,590,097
Notice both answers equal 107,590,097
With that explanation out of the way, let's continue. Next, we take the number 107,590,097 and divide it by 2:
107,590,097 ÷ 2 = 53,795,048.5
If the quotient is a whole number, then 2 and 53,795,048.5 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 | 107,590,097 | |
-1 | -107,590,097 |
Now, we try dividing 107,590,097 by 3:
107,590,097 ÷ 3 = 35,863,365.6667
If the quotient is a whole number, then 3 and 35,863,365.6667 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 | 107,590,097 | |
-1 | -107,590,097 |
Let's try dividing by 4:
107,590,097 ÷ 4 = 26,897,524.25
If the quotient is a whole number, then 4 and 26,897,524.25 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 | 107,590,097 | |
-1 | 107,590,097 |
If you did it right, you will end up with this table:
1 | 47 | 2,289,151 | 107,590,097 |
-1 | -47 | -2,289,151 | -107,590,097 |
Here are some more numbers to try:
Try the factor calculator