Q: What are the factor combinations of the number 9,751?
A:
Positive:
1 x 97517 x 139349 x 199
Negative:
-1 x -9751-7 x -1393-49 x -199
A:
Positive:
1 x 97517 x 139349 x 199
Negative:
-1 x -9751-7 x -1393-49 x -199
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 9,751, 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 | 9,751 | |
-1 | -9,751 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 9,751.
Example:
1 x 9,751 = 9,751
and
-1 x -9,751 = 9,751
Notice both answers equal 9,751
With that explanation out of the way, let's continue. Next, we take the number 9,751 and divide it by 2:
9,751 ÷ 2 = 4,875.5
If the quotient is a whole number, then 2 and 4,875.5 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 | 9,751 | |
-1 | -9,751 |
Now, we try dividing 9,751 by 3:
9,751 ÷ 3 = 3,250.3333
If the quotient is a whole number, then 3 and 3,250.3333 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 | 9,751 | |
-1 | -9,751 |
Let's try dividing by 4:
9,751 ÷ 4 = 2,437.75
If the quotient is a whole number, then 4 and 2,437.75 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 | 9,751 | |
-1 | 9,751 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 199 | 1,393 | 9,751 |
-1 | -7 | -49 | -199 | -1,393 | -9,751 |
Here are some more numbers to try:
Try the factor calculator