Q: What are the factor combinations of the number 967,997?
A:
Positive:
1 x 96799717 x 56941
Negative:
-1 x -967997-17 x -56941
A:
Positive:
1 x 96799717 x 56941
Negative:
-1 x -967997-17 x -56941
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 967,997, 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 | 967,997 | |
-1 | -967,997 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 967,997.
Example:
1 x 967,997 = 967,997
and
-1 x -967,997 = 967,997
Notice both answers equal 967,997
With that explanation out of the way, let's continue. Next, we take the number 967,997 and divide it by 2:
967,997 ÷ 2 = 483,998.5
If the quotient is a whole number, then 2 and 483,998.5 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 | 967,997 | |
-1 | -967,997 |
Now, we try dividing 967,997 by 3:
967,997 ÷ 3 = 322,665.6667
If the quotient is a whole number, then 3 and 322,665.6667 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 | 967,997 | |
-1 | -967,997 |
Let's try dividing by 4:
967,997 ÷ 4 = 241,999.25
If the quotient is a whole number, then 4 and 241,999.25 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 | 967,997 | |
-1 | 967,997 |
If you did it right, you will end up with this table:
1 | 17 | 56,941 | 967,997 |
-1 | -17 | -56,941 | -967,997 |
Here are some more numbers to try:
Try the factor calculator