Q: What are the factor combinations of the number 129,677?
A:
Positive:
1 x 129677103 x 1259
Negative:
-1 x -129677-103 x -1259
A:
Positive:
1 x 129677103 x 1259
Negative:
-1 x -129677-103 x -1259
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 129,677, 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 | 129,677 | |
-1 | -129,677 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 129,677.
Example:
1 x 129,677 = 129,677
and
-1 x -129,677 = 129,677
Notice both answers equal 129,677
With that explanation out of the way, let's continue. Next, we take the number 129,677 and divide it by 2:
129,677 ÷ 2 = 64,838.5
If the quotient is a whole number, then 2 and 64,838.5 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 | 129,677 | |
-1 | -129,677 |
Now, we try dividing 129,677 by 3:
129,677 ÷ 3 = 43,225.6667
If the quotient is a whole number, then 3 and 43,225.6667 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 | 129,677 | |
-1 | -129,677 |
Let's try dividing by 4:
129,677 ÷ 4 = 32,419.25
If the quotient is a whole number, then 4 and 32,419.25 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 | 129,677 | |
-1 | 129,677 |
If you did it right, you will end up with this table:
1 | 103 | 1,259 | 129,677 |
-1 | -103 | -1,259 | -129,677 |
Here are some more numbers to try:
Try the factor calculator