Q: What are the factor combinations of the number 483,217?
A:
Positive:
1 x 4832177 x 69031
Negative:
-1 x -483217-7 x -69031
A:
Positive:
1 x 4832177 x 69031
Negative:
-1 x -483217-7 x -69031
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 483,217, 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 | 483,217 | |
-1 | -483,217 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 483,217.
Example:
1 x 483,217 = 483,217
and
-1 x -483,217 = 483,217
Notice both answers equal 483,217
With that explanation out of the way, let's continue. Next, we take the number 483,217 and divide it by 2:
483,217 ÷ 2 = 241,608.5
If the quotient is a whole number, then 2 and 241,608.5 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 | 483,217 | |
-1 | -483,217 |
Now, we try dividing 483,217 by 3:
483,217 ÷ 3 = 161,072.3333
If the quotient is a whole number, then 3 and 161,072.3333 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 | 483,217 | |
-1 | -483,217 |
Let's try dividing by 4:
483,217 ÷ 4 = 120,804.25
If the quotient is a whole number, then 4 and 120,804.25 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 | 483,217 | |
-1 | 483,217 |
If you did it right, you will end up with this table:
1 | 7 | 69,031 | 483,217 |
-1 | -7 | -69,031 | -483,217 |
Here are some more numbers to try:
Try the factor calculator