Q: What are the factor combinations of the number 116,512,205?
A:
Positive:
1 x 1165122055 x 23302441
Negative:
-1 x -116512205-5 x -23302441
A:
Positive:
1 x 1165122055 x 23302441
Negative:
-1 x -116512205-5 x -23302441
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 116,512,205, 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 | 116,512,205 | |
-1 | -116,512,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 116,512,205.
Example:
1 x 116,512,205 = 116,512,205
and
-1 x -116,512,205 = 116,512,205
Notice both answers equal 116,512,205
With that explanation out of the way, let's continue. Next, we take the number 116,512,205 and divide it by 2:
116,512,205 ÷ 2 = 58,256,102.5
If the quotient is a whole number, then 2 and 58,256,102.5 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 | 116,512,205 | |
-1 | -116,512,205 |
Now, we try dividing 116,512,205 by 3:
116,512,205 ÷ 3 = 38,837,401.6667
If the quotient is a whole number, then 3 and 38,837,401.6667 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 | 116,512,205 | |
-1 | -116,512,205 |
Let's try dividing by 4:
116,512,205 ÷ 4 = 29,128,051.25
If the quotient is a whole number, then 4 and 29,128,051.25 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 | 116,512,205 | |
-1 | 116,512,205 |
If you did it right, you will end up with this table:
1 | 5 | 23,302,441 | 116,512,205 |
-1 | -5 | -23,302,441 | -116,512,205 |
Here are some more numbers to try:
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