Q: What are the factor combinations of the number 664,442,273?
A:
Positive:
1 x 66444227311 x 60403843
Negative:
-1 x -664442273-11 x -60403843
A:
Positive:
1 x 66444227311 x 60403843
Negative:
-1 x -664442273-11 x -60403843
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 664,442,273, 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 | 664,442,273 | |
-1 | -664,442,273 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 664,442,273.
Example:
1 x 664,442,273 = 664,442,273
and
-1 x -664,442,273 = 664,442,273
Notice both answers equal 664,442,273
With that explanation out of the way, let's continue. Next, we take the number 664,442,273 and divide it by 2:
664,442,273 ÷ 2 = 332,221,136.5
If the quotient is a whole number, then 2 and 332,221,136.5 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 | 664,442,273 | |
-1 | -664,442,273 |
Now, we try dividing 664,442,273 by 3:
664,442,273 ÷ 3 = 221,480,757.6667
If the quotient is a whole number, then 3 and 221,480,757.6667 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 | 664,442,273 | |
-1 | -664,442,273 |
Let's try dividing by 4:
664,442,273 ÷ 4 = 166,110,568.25
If the quotient is a whole number, then 4 and 166,110,568.25 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 | 664,442,273 | |
-1 | 664,442,273 |
If you did it right, you will end up with this table:
1 | 11 | 60,403,843 | 664,442,273 |
-1 | -11 | -60,403,843 | -664,442,273 |
Here are some more numbers to try:
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