Q: What are the factor combinations of the number 220,061?
A:
Positive:
1 x 220061337 x 653
Negative:
-1 x -220061-337 x -653
A:
Positive:
1 x 220061337 x 653
Negative:
-1 x -220061-337 x -653
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 220,061, 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 | 220,061 | |
-1 | -220,061 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 220,061.
Example:
1 x 220,061 = 220,061
and
-1 x -220,061 = 220,061
Notice both answers equal 220,061
With that explanation out of the way, let's continue. Next, we take the number 220,061 and divide it by 2:
220,061 ÷ 2 = 110,030.5
If the quotient is a whole number, then 2 and 110,030.5 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 | 220,061 | |
-1 | -220,061 |
Now, we try dividing 220,061 by 3:
220,061 ÷ 3 = 73,353.6667
If the quotient is a whole number, then 3 and 73,353.6667 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 | 220,061 | |
-1 | -220,061 |
Let's try dividing by 4:
220,061 ÷ 4 = 55,015.25
If the quotient is a whole number, then 4 and 55,015.25 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 | 220,061 | |
-1 | 220,061 |
If you did it right, you will end up with this table:
1 | 337 | 653 | 220,061 |
-1 | -337 | -653 | -220,061 |
Here are some more numbers to try:
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