Q: What are the factor combinations of the number 109,447?
A:
Positive:
1 x 10944713 x 8419
Negative:
-1 x -109447-13 x -8419
A:
Positive:
1 x 10944713 x 8419
Negative:
-1 x -109447-13 x -8419
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 109,447, 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 | 109,447 | |
-1 | -109,447 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 109,447.
Example:
1 x 109,447 = 109,447
and
-1 x -109,447 = 109,447
Notice both answers equal 109,447
With that explanation out of the way, let's continue. Next, we take the number 109,447 and divide it by 2:
109,447 ÷ 2 = 54,723.5
If the quotient is a whole number, then 2 and 54,723.5 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 | 109,447 | |
-1 | -109,447 |
Now, we try dividing 109,447 by 3:
109,447 ÷ 3 = 36,482.3333
If the quotient is a whole number, then 3 and 36,482.3333 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 | 109,447 | |
-1 | -109,447 |
Let's try dividing by 4:
109,447 ÷ 4 = 27,361.75
If the quotient is a whole number, then 4 and 27,361.75 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 | 109,447 | |
-1 | 109,447 |
If you did it right, you will end up with this table:
1 | 13 | 8,419 | 109,447 |
-1 | -13 | -8,419 | -109,447 |
Here are some more numbers to try:
Try the factor calculator