Q: What are the factor combinations of the number 558,211?
A:
Positive:
1 x 55821161 x 9151
Negative:
-1 x -558211-61 x -9151
A:
Positive:
1 x 55821161 x 9151
Negative:
-1 x -558211-61 x -9151
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 558,211, 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 | 558,211 | |
-1 | -558,211 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 558,211.
Example:
1 x 558,211 = 558,211
and
-1 x -558,211 = 558,211
Notice both answers equal 558,211
With that explanation out of the way, let's continue. Next, we take the number 558,211 and divide it by 2:
558,211 ÷ 2 = 279,105.5
If the quotient is a whole number, then 2 and 279,105.5 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 | 558,211 | |
-1 | -558,211 |
Now, we try dividing 558,211 by 3:
558,211 ÷ 3 = 186,070.3333
If the quotient is a whole number, then 3 and 186,070.3333 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 | 558,211 | |
-1 | -558,211 |
Let's try dividing by 4:
558,211 ÷ 4 = 139,552.75
If the quotient is a whole number, then 4 and 139,552.75 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 | 558,211 | |
-1 | 558,211 |
If you did it right, you will end up with this table:
1 | 61 | 9,151 | 558,211 |
-1 | -61 | -9,151 | -558,211 |
Here are some more numbers to try:
Try the factor calculator