Q: What are the factor combinations of the number 88,505?
A:
Positive:
1 x 885055 x 1770131 x 2855155 x 571
Negative:
-1 x -88505-5 x -17701-31 x -2855-155 x -571
A:
Positive:
1 x 885055 x 1770131 x 2855155 x 571
Negative:
-1 x -88505-5 x -17701-31 x -2855-155 x -571
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 88,505, 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 | 88,505 | |
-1 | -88,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 88,505.
Example:
1 x 88,505 = 88,505
and
-1 x -88,505 = 88,505
Notice both answers equal 88,505
With that explanation out of the way, let's continue. Next, we take the number 88,505 and divide it by 2:
88,505 ÷ 2 = 44,252.5
If the quotient is a whole number, then 2 and 44,252.5 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 | 88,505 | |
-1 | -88,505 |
Now, we try dividing 88,505 by 3:
88,505 ÷ 3 = 29,501.6667
If the quotient is a whole number, then 3 and 29,501.6667 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 | 88,505 | |
-1 | -88,505 |
Let's try dividing by 4:
88,505 ÷ 4 = 22,126.25
If the quotient is a whole number, then 4 and 22,126.25 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 | 88,505 | |
-1 | 88,505 |
If you did it right, you will end up with this table:
1 | 5 | 31 | 155 | 571 | 2,855 | 17,701 | 88,505 |
-1 | -5 | -31 | -155 | -571 | -2,855 | -17,701 | -88,505 |
Here are some more numbers to try:
Try the factor calculator