Q: What are the factor combinations of the number 97,255?
A:
Positive:
1 x 972555 x 1945153 x 1835265 x 367
Negative:
-1 x -97255-5 x -19451-53 x -1835-265 x -367
A:
Positive:
1 x 972555 x 1945153 x 1835265 x 367
Negative:
-1 x -97255-5 x -19451-53 x -1835-265 x -367
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 97,255, 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 | 97,255 | |
-1 | -97,255 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 97,255.
Example:
1 x 97,255 = 97,255
and
-1 x -97,255 = 97,255
Notice both answers equal 97,255
With that explanation out of the way, let's continue. Next, we take the number 97,255 and divide it by 2:
97,255 ÷ 2 = 48,627.5
If the quotient is a whole number, then 2 and 48,627.5 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 | 97,255 | |
-1 | -97,255 |
Now, we try dividing 97,255 by 3:
97,255 ÷ 3 = 32,418.3333
If the quotient is a whole number, then 3 and 32,418.3333 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 | 97,255 | |
-1 | -97,255 |
Let's try dividing by 4:
97,255 ÷ 4 = 24,313.75
If the quotient is a whole number, then 4 and 24,313.75 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 | 97,255 | |
-1 | 97,255 |
If you did it right, you will end up with this table:
1 | 5 | 53 | 265 | 367 | 1,835 | 19,451 | 97,255 |
-1 | -5 | -53 | -265 | -367 | -1,835 | -19,451 | -97,255 |
Here are some more numbers to try:
Try the factor calculator