Q: What are the factor combinations of the number 69,005?
A:
Positive:
1 x 690055 x 1380137 x 1865185 x 373
Negative:
-1 x -69005-5 x -13801-37 x -1865-185 x -373
A:
Positive:
1 x 690055 x 1380137 x 1865185 x 373
Negative:
-1 x -69005-5 x -13801-37 x -1865-185 x -373
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 69,005, 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 | 69,005 | |
-1 | -69,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 69,005.
Example:
1 x 69,005 = 69,005
and
-1 x -69,005 = 69,005
Notice both answers equal 69,005
With that explanation out of the way, let's continue. Next, we take the number 69,005 and divide it by 2:
69,005 ÷ 2 = 34,502.5
If the quotient is a whole number, then 2 and 34,502.5 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 | 69,005 | |
-1 | -69,005 |
Now, we try dividing 69,005 by 3:
69,005 ÷ 3 = 23,001.6667
If the quotient is a whole number, then 3 and 23,001.6667 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 | 69,005 | |
-1 | -69,005 |
Let's try dividing by 4:
69,005 ÷ 4 = 17,251.25
If the quotient is a whole number, then 4 and 17,251.25 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 | 69,005 | |
-1 | 69,005 |
If you did it right, you will end up with this table:
1 | 5 | 37 | 185 | 373 | 1,865 | 13,801 | 69,005 |
-1 | -5 | -37 | -185 | -373 | -1,865 | -13,801 | -69,005 |
Here are some more numbers to try:
Try the factor calculator