Q: What are the factor combinations of the number 97,745?
A:
Positive:
1 x 977455 x 19549113 x 865173 x 565
Negative:
-1 x -97745-5 x -19549-113 x -865-173 x -565
A:
Positive:
1 x 977455 x 19549113 x 865173 x 565
Negative:
-1 x -97745-5 x -19549-113 x -865-173 x -565
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 97,745, 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 | 97,745 | |
-1 | -97,745 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 97,745.
Example:
1 x 97,745 = 97,745
and
-1 x -97,745 = 97,745
Notice both answers equal 97,745
With that explanation out of the way, let's continue. Next, we take the number 97,745 and divide it by 2:
97,745 ÷ 2 = 48,872.5
If the quotient is a whole number, then 2 and 48,872.5 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 | 97,745 | |
-1 | -97,745 |
Now, we try dividing 97,745 by 3:
97,745 ÷ 3 = 32,581.6667
If the quotient is a whole number, then 3 and 32,581.6667 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 | 97,745 | |
-1 | -97,745 |
Let's try dividing by 4:
97,745 ÷ 4 = 24,436.25
If the quotient is a whole number, then 4 and 24,436.25 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 | 97,745 | |
-1 | 97,745 |
If you did it right, you will end up with this table:
1 | 5 | 113 | 173 | 565 | 865 | 19,549 | 97,745 |
-1 | -5 | -113 | -173 | -565 | -865 | -19,549 | -97,745 |
Here are some more numbers to try:
Try the factor calculator