Q: What are the factor combinations of the number 963,389?
A:
Positive:
1 x 9633897 x 13762749 x 19661
Negative:
-1 x -963389-7 x -137627-49 x -19661
A:
Positive:
1 x 9633897 x 13762749 x 19661
Negative:
-1 x -963389-7 x -137627-49 x -19661
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 963,389, 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 | 963,389 | |
-1 | -963,389 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 963,389.
Example:
1 x 963,389 = 963,389
and
-1 x -963,389 = 963,389
Notice both answers equal 963,389
With that explanation out of the way, let's continue. Next, we take the number 963,389 and divide it by 2:
963,389 ÷ 2 = 481,694.5
If the quotient is a whole number, then 2 and 481,694.5 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 | 963,389 | |
-1 | -963,389 |
Now, we try dividing 963,389 by 3:
963,389 ÷ 3 = 321,129.6667
If the quotient is a whole number, then 3 and 321,129.6667 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 | 963,389 | |
-1 | -963,389 |
Let's try dividing by 4:
963,389 ÷ 4 = 240,847.25
If the quotient is a whole number, then 4 and 240,847.25 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 | 963,389 | |
-1 | 963,389 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 19,661 | 137,627 | 963,389 |
-1 | -7 | -49 | -19,661 | -137,627 | -963,389 |
Here are some more numbers to try:
Try the factor calculator