Q: What are the factor combinations of the number 109,231?
A:
Positive:
1 x 10923119 x 5749
Negative:
-1 x -109231-19 x -5749
A:
Positive:
1 x 10923119 x 5749
Negative:
-1 x -109231-19 x -5749
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 109,231, 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 | 109,231 | |
-1 | -109,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 109,231.
Example:
1 x 109,231 = 109,231
and
-1 x -109,231 = 109,231
Notice both answers equal 109,231
With that explanation out of the way, let's continue. Next, we take the number 109,231 and divide it by 2:
109,231 ÷ 2 = 54,615.5
If the quotient is a whole number, then 2 and 54,615.5 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 | 109,231 | |
-1 | -109,231 |
Now, we try dividing 109,231 by 3:
109,231 ÷ 3 = 36,410.3333
If the quotient is a whole number, then 3 and 36,410.3333 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 | 109,231 | |
-1 | -109,231 |
Let's try dividing by 4:
109,231 ÷ 4 = 27,307.75
If the quotient is a whole number, then 4 and 27,307.75 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 | 109,231 | |
-1 | 109,231 |
If you did it right, you will end up with this table:
1 | 19 | 5,749 | 109,231 |
-1 | -19 | -5,749 | -109,231 |
Here are some more numbers to try:
Try the factor calculator