Q: What are the factor combinations of the number 220,051?
A:
Positive:
1 x 22005113 x 16927
Negative:
-1 x -220051-13 x -16927
A:
Positive:
1 x 22005113 x 16927
Negative:
-1 x -220051-13 x -16927
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 220,051, 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 | 220,051 | |
-1 | -220,051 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 220,051.
Example:
1 x 220,051 = 220,051
and
-1 x -220,051 = 220,051
Notice both answers equal 220,051
With that explanation out of the way, let's continue. Next, we take the number 220,051 and divide it by 2:
220,051 ÷ 2 = 110,025.5
If the quotient is a whole number, then 2 and 110,025.5 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 | 220,051 | |
-1 | -220,051 |
Now, we try dividing 220,051 by 3:
220,051 ÷ 3 = 73,350.3333
If the quotient is a whole number, then 3 and 73,350.3333 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 | 220,051 | |
-1 | -220,051 |
Let's try dividing by 4:
220,051 ÷ 4 = 55,012.75
If the quotient is a whole number, then 4 and 55,012.75 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 | 220,051 | |
-1 | 220,051 |
If you did it right, you will end up with this table:
1 | 13 | 16,927 | 220,051 |
-1 | -13 | -16,927 | -220,051 |
Here are some more numbers to try:
Try the factor calculator