Q: What are the factor combinations of the number 97,717?
A:
Positive:
1 x 9771719 x 514337 x 2641139 x 703
Negative:
-1 x -97717-19 x -5143-37 x -2641-139 x -703
A:
Positive:
1 x 9771719 x 514337 x 2641139 x 703
Negative:
-1 x -97717-19 x -5143-37 x -2641-139 x -703
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 97,717, 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 | 97,717 | |
-1 | -97,717 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 97,717.
Example:
1 x 97,717 = 97,717
and
-1 x -97,717 = 97,717
Notice both answers equal 97,717
With that explanation out of the way, let's continue. Next, we take the number 97,717 and divide it by 2:
97,717 ÷ 2 = 48,858.5
If the quotient is a whole number, then 2 and 48,858.5 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 | 97,717 | |
-1 | -97,717 |
Now, we try dividing 97,717 by 3:
97,717 ÷ 3 = 32,572.3333
If the quotient is a whole number, then 3 and 32,572.3333 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 | 97,717 | |
-1 | -97,717 |
Let's try dividing by 4:
97,717 ÷ 4 = 24,429.25
If the quotient is a whole number, then 4 and 24,429.25 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 | 97,717 | |
-1 | 97,717 |
If you did it right, you will end up with this table:
1 | 19 | 37 | 139 | 703 | 2,641 | 5,143 | 97,717 |
-1 | -19 | -37 | -139 | -703 | -2,641 | -5,143 | -97,717 |
Here are some more numbers to try:
Try the factor calculator