Q: What are the factor combinations of the number 220,091?
A:
Positive:
1 x 220091127 x 1733
Negative:
-1 x -220091-127 x -1733
A:
Positive:
1 x 220091127 x 1733
Negative:
-1 x -220091-127 x -1733
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 220,091, 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 | 220,091 | |
-1 | -220,091 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 220,091.
Example:
1 x 220,091 = 220,091
and
-1 x -220,091 = 220,091
Notice both answers equal 220,091
With that explanation out of the way, let's continue. Next, we take the number 220,091 and divide it by 2:
220,091 ÷ 2 = 110,045.5
If the quotient is a whole number, then 2 and 110,045.5 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 | 220,091 | |
-1 | -220,091 |
Now, we try dividing 220,091 by 3:
220,091 ÷ 3 = 73,363.6667
If the quotient is a whole number, then 3 and 73,363.6667 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 | 220,091 | |
-1 | -220,091 |
Let's try dividing by 4:
220,091 ÷ 4 = 55,022.75
If the quotient is a whole number, then 4 and 55,022.75 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 | 220,091 | |
-1 | 220,091 |
If you did it right, you will end up with this table:
1 | 127 | 1,733 | 220,091 |
-1 | -127 | -1,733 | -220,091 |
Here are some more numbers to try:
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