Q: What are the factor combinations of the number 130,511?
A:
Positive:
1 x 13051119 x 6869
Negative:
-1 x -130511-19 x -6869
A:
Positive:
1 x 13051119 x 6869
Negative:
-1 x -130511-19 x -6869
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 130,511, 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 | 130,511 | |
-1 | -130,511 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 130,511.
Example:
1 x 130,511 = 130,511
and
-1 x -130,511 = 130,511
Notice both answers equal 130,511
With that explanation out of the way, let's continue. Next, we take the number 130,511 and divide it by 2:
130,511 ÷ 2 = 65,255.5
If the quotient is a whole number, then 2 and 65,255.5 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 | 130,511 | |
-1 | -130,511 |
Now, we try dividing 130,511 by 3:
130,511 ÷ 3 = 43,503.6667
If the quotient is a whole number, then 3 and 43,503.6667 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 | 130,511 | |
-1 | -130,511 |
Let's try dividing by 4:
130,511 ÷ 4 = 32,627.75
If the quotient is a whole number, then 4 and 32,627.75 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 | 130,511 | |
-1 | 130,511 |
If you did it right, you will end up with this table:
1 | 19 | 6,869 | 130,511 |
-1 | -19 | -6,869 | -130,511 |
Here are some more numbers to try:
Try the factor calculator