Q: What are the factor combinations of the number 66,005?
A:
Positive:
1 x 660055 x 1320143 x 1535215 x 307
Negative:
-1 x -66005-5 x -13201-43 x -1535-215 x -307
A:
Positive:
1 x 660055 x 1320143 x 1535215 x 307
Negative:
-1 x -66005-5 x -13201-43 x -1535-215 x -307
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 66,005, 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 | 66,005 | |
-1 | -66,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 66,005.
Example:
1 x 66,005 = 66,005
and
-1 x -66,005 = 66,005
Notice both answers equal 66,005
With that explanation out of the way, let's continue. Next, we take the number 66,005 and divide it by 2:
66,005 ÷ 2 = 33,002.5
If the quotient is a whole number, then 2 and 33,002.5 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 | 66,005 | |
-1 | -66,005 |
Now, we try dividing 66,005 by 3:
66,005 ÷ 3 = 22,001.6667
If the quotient is a whole number, then 3 and 22,001.6667 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 | 66,005 | |
-1 | -66,005 |
Let's try dividing by 4:
66,005 ÷ 4 = 16,501.25
If the quotient is a whole number, then 4 and 16,501.25 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 | 66,005 | |
-1 | 66,005 |
If you did it right, you will end up with this table:
1 | 5 | 43 | 215 | 307 | 1,535 | 13,201 | 66,005 |
-1 | -5 | -43 | -215 | -307 | -1,535 | -13,201 | -66,005 |
Here are some more numbers to try:
Try the factor calculator