Q: What are the factor combinations of the number 396,763?
A:
Positive:
1 x 39676317 x 23339
Negative:
-1 x -396763-17 x -23339
A:
Positive:
1 x 39676317 x 23339
Negative:
-1 x -396763-17 x -23339
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 396,763, 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 | 396,763 | |
-1 | -396,763 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 396,763.
Example:
1 x 396,763 = 396,763
and
-1 x -396,763 = 396,763
Notice both answers equal 396,763
With that explanation out of the way, let's continue. Next, we take the number 396,763 and divide it by 2:
396,763 ÷ 2 = 198,381.5
If the quotient is a whole number, then 2 and 198,381.5 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 | 396,763 | |
-1 | -396,763 |
Now, we try dividing 396,763 by 3:
396,763 ÷ 3 = 132,254.3333
If the quotient is a whole number, then 3 and 132,254.3333 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 | 396,763 | |
-1 | -396,763 |
Let's try dividing by 4:
396,763 ÷ 4 = 99,190.75
If the quotient is a whole number, then 4 and 99,190.75 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 | 396,763 | |
-1 | 396,763 |
If you did it right, you will end up with this table:
1 | 17 | 23,339 | 396,763 |
-1 | -17 | -23,339 | -396,763 |
Here are some more numbers to try:
Try the factor calculator