Q: What are the factor combinations of the number 120,522,133?
A:
Positive:
1 x 1205221336967 x 17299
Negative:
-1 x -120522133-6967 x -17299
A:
Positive:
1 x 1205221336967 x 17299
Negative:
-1 x -120522133-6967 x -17299
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 120,522,133, 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 | 120,522,133 | |
-1 | -120,522,133 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,522,133.
Example:
1 x 120,522,133 = 120,522,133
and
-1 x -120,522,133 = 120,522,133
Notice both answers equal 120,522,133
With that explanation out of the way, let's continue. Next, we take the number 120,522,133 and divide it by 2:
120,522,133 ÷ 2 = 60,261,066.5
If the quotient is a whole number, then 2 and 60,261,066.5 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 | 120,522,133 | |
-1 | -120,522,133 |
Now, we try dividing 120,522,133 by 3:
120,522,133 ÷ 3 = 40,174,044.3333
If the quotient is a whole number, then 3 and 40,174,044.3333 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 | 120,522,133 | |
-1 | -120,522,133 |
Let's try dividing by 4:
120,522,133 ÷ 4 = 30,130,533.25
If the quotient is a whole number, then 4 and 30,130,533.25 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 | 120,522,133 | |
-1 | 120,522,133 |
If you did it right, you will end up with this table:
1 | 6,967 | 17,299 | 120,522,133 |
-1 | -6,967 | -17,299 | -120,522,133 |
Here are some more numbers to try:
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