Q: What are the factor combinations of the number 321,223,003?
A:
Positive:
1 x 321223003307 x 1046329
Negative:
-1 x -321223003-307 x -1046329
A:
Positive:
1 x 321223003307 x 1046329
Negative:
-1 x -321223003-307 x -1046329
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 321,223,003, 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 | 321,223,003 | |
-1 | -321,223,003 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 321,223,003.
Example:
1 x 321,223,003 = 321,223,003
and
-1 x -321,223,003 = 321,223,003
Notice both answers equal 321,223,003
With that explanation out of the way, let's continue. Next, we take the number 321,223,003 and divide it by 2:
321,223,003 ÷ 2 = 160,611,501.5
If the quotient is a whole number, then 2 and 160,611,501.5 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 | 321,223,003 | |
-1 | -321,223,003 |
Now, we try dividing 321,223,003 by 3:
321,223,003 ÷ 3 = 107,074,334.3333
If the quotient is a whole number, then 3 and 107,074,334.3333 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 | 321,223,003 | |
-1 | -321,223,003 |
Let's try dividing by 4:
321,223,003 ÷ 4 = 80,305,750.75
If the quotient is a whole number, then 4 and 80,305,750.75 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 | 321,223,003 | |
-1 | 321,223,003 |
If you did it right, you will end up with this table:
1 | 307 | 1,046,329 | 321,223,003 |
-1 | -307 | -1,046,329 | -321,223,003 |
Here are some more numbers to try:
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