Q: What are the factor combinations of the number 332,002,205?
A:
Positive:
1 x 3320022055 x 66400441
Negative:
-1 x -332002205-5 x -66400441
A:
Positive:
1 x 3320022055 x 66400441
Negative:
-1 x -332002205-5 x -66400441
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 332,002,205, 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 | 332,002,205 | |
-1 | -332,002,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 332,002,205.
Example:
1 x 332,002,205 = 332,002,205
and
-1 x -332,002,205 = 332,002,205
Notice both answers equal 332,002,205
With that explanation out of the way, let's continue. Next, we take the number 332,002,205 and divide it by 2:
332,002,205 ÷ 2 = 166,001,102.5
If the quotient is a whole number, then 2 and 166,001,102.5 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 | 332,002,205 | |
-1 | -332,002,205 |
Now, we try dividing 332,002,205 by 3:
332,002,205 ÷ 3 = 110,667,401.6667
If the quotient is a whole number, then 3 and 110,667,401.6667 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 | 332,002,205 | |
-1 | -332,002,205 |
Let's try dividing by 4:
332,002,205 ÷ 4 = 83,000,551.25
If the quotient is a whole number, then 4 and 83,000,551.25 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 | 332,002,205 | |
-1 | 332,002,205 |
If you did it right, you will end up with this table:
1 | 5 | 66,400,441 | 332,002,205 |
-1 | -5 | -66,400,441 | -332,002,205 |
Here are some more numbers to try:
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