Q: What are the factor combinations of the number 116,750,903?
A:
Positive:
1 x 11675090341 x 2847583
Negative:
-1 x -116750903-41 x -2847583
A:
Positive:
1 x 11675090341 x 2847583
Negative:
-1 x -116750903-41 x -2847583
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 116,750,903, 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 | 116,750,903 | |
-1 | -116,750,903 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 116,750,903.
Example:
1 x 116,750,903 = 116,750,903
and
-1 x -116,750,903 = 116,750,903
Notice both answers equal 116,750,903
With that explanation out of the way, let's continue. Next, we take the number 116,750,903 and divide it by 2:
116,750,903 ÷ 2 = 58,375,451.5
If the quotient is a whole number, then 2 and 58,375,451.5 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 | 116,750,903 | |
-1 | -116,750,903 |
Now, we try dividing 116,750,903 by 3:
116,750,903 ÷ 3 = 38,916,967.6667
If the quotient is a whole number, then 3 and 38,916,967.6667 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 | 116,750,903 | |
-1 | -116,750,903 |
Let's try dividing by 4:
116,750,903 ÷ 4 = 29,187,725.75
If the quotient is a whole number, then 4 and 29,187,725.75 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 | 116,750,903 | |
-1 | 116,750,903 |
If you did it right, you will end up with this table:
1 | 41 | 2,847,583 | 116,750,903 |
-1 | -41 | -2,847,583 | -116,750,903 |
Here are some more numbers to try:
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