Q: What are the factor combinations of the number 1,309?
A:
Positive:
1 x 13097 x 18711 x 11917 x 77
Negative:
-1 x -1309-7 x -187-11 x -119-17 x -77
A:
Positive:
1 x 13097 x 18711 x 11917 x 77
Negative:
-1 x -1309-7 x -187-11 x -119-17 x -77
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 1,309, 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 | 1,309 | |
-1 | -1,309 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 1,309.
Example:
1 x 1,309 = 1,309
and
-1 x -1,309 = 1,309
Notice both answers equal 1,309
With that explanation out of the way, let's continue. Next, we take the number 1,309 and divide it by 2:
1,309 ÷ 2 = 654.5
If the quotient is a whole number, then 2 and 654.5 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 | 1,309 | |
-1 | -1,309 |
Now, we try dividing 1,309 by 3:
1,309 ÷ 3 = 436.3333
If the quotient is a whole number, then 3 and 436.3333 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 | 1,309 | |
-1 | -1,309 |
Let's try dividing by 4:
1,309 ÷ 4 = 327.25
If the quotient is a whole number, then 4 and 327.25 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 | 1,309 | |
-1 | 1,309 |
If you did it right, you will end up with this table:
1 | 7 | 11 | 17 | 77 | 119 | 187 | 1,309 |
-1 | -7 | -11 | -17 | -77 | -119 | -187 | -1,309 |
Here are some more numbers to try:
Try the factor calculator