Q: What are the factor combinations of the number 97,507?
A:
Positive:
1 x 97507281 x 347
Negative:
-1 x -97507-281 x -347
A:
Positive:
1 x 97507281 x 347
Negative:
-1 x -97507-281 x -347
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 97,507, 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 | 97,507 | |
-1 | -97,507 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 97,507.
Example:
1 x 97,507 = 97,507
and
-1 x -97,507 = 97,507
Notice both answers equal 97,507
With that explanation out of the way, let's continue. Next, we take the number 97,507 and divide it by 2:
97,507 ÷ 2 = 48,753.5
If the quotient is a whole number, then 2 and 48,753.5 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 | 97,507 | |
-1 | -97,507 |
Now, we try dividing 97,507 by 3:
97,507 ÷ 3 = 32,502.3333
If the quotient is a whole number, then 3 and 32,502.3333 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 | 97,507 | |
-1 | -97,507 |
Let's try dividing by 4:
97,507 ÷ 4 = 24,376.75
If the quotient is a whole number, then 4 and 24,376.75 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 | 97,507 | |
-1 | 97,507 |
If you did it right, you will end up with this table:
1 | 281 | 347 | 97,507 |
-1 | -281 | -347 | -97,507 |
Here are some more numbers to try:
Try the factor calculator