Q: What are the factor combinations of the number 201,002,099?
A:
Positive:
1 x 201002099311 x 646309
Negative:
-1 x -201002099-311 x -646309
A:
Positive:
1 x 201002099311 x 646309
Negative:
-1 x -201002099-311 x -646309
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 201,002,099, 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 | 201,002,099 | |
-1 | -201,002,099 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,002,099.
Example:
1 x 201,002,099 = 201,002,099
and
-1 x -201,002,099 = 201,002,099
Notice both answers equal 201,002,099
With that explanation out of the way, let's continue. Next, we take the number 201,002,099 and divide it by 2:
201,002,099 ÷ 2 = 100,501,049.5
If the quotient is a whole number, then 2 and 100,501,049.5 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 | 201,002,099 | |
-1 | -201,002,099 |
Now, we try dividing 201,002,099 by 3:
201,002,099 ÷ 3 = 67,000,699.6667
If the quotient is a whole number, then 3 and 67,000,699.6667 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 | 201,002,099 | |
-1 | -201,002,099 |
Let's try dividing by 4:
201,002,099 ÷ 4 = 50,250,524.75
If the quotient is a whole number, then 4 and 50,250,524.75 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 | 201,002,099 | |
-1 | 201,002,099 |
If you did it right, you will end up with this table:
1 | 311 | 646,309 | 201,002,099 |
-1 | -311 | -646,309 | -201,002,099 |
Here are some more numbers to try:
Try the factor calculator