Q: What are the factor combinations of the number 148,813?
A:
Positive:
1 x 1488137 x 2125949 x 3037
Negative:
-1 x -148813-7 x -21259-49 x -3037
A:
Positive:
1 x 1488137 x 2125949 x 3037
Negative:
-1 x -148813-7 x -21259-49 x -3037
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 148,813, 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 | 148,813 | |
-1 | -148,813 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 148,813.
Example:
1 x 148,813 = 148,813
and
-1 x -148,813 = 148,813
Notice both answers equal 148,813
With that explanation out of the way, let's continue. Next, we take the number 148,813 and divide it by 2:
148,813 ÷ 2 = 74,406.5
If the quotient is a whole number, then 2 and 74,406.5 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 | 148,813 | |
-1 | -148,813 |
Now, we try dividing 148,813 by 3:
148,813 ÷ 3 = 49,604.3333
If the quotient is a whole number, then 3 and 49,604.3333 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 | 148,813 | |
-1 | -148,813 |
Let's try dividing by 4:
148,813 ÷ 4 = 37,203.25
If the quotient is a whole number, then 4 and 37,203.25 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 | 148,813 | |
-1 | 148,813 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 3,037 | 21,259 | 148,813 |
-1 | -7 | -49 | -3,037 | -21,259 | -148,813 |
Here are some more numbers to try:
Try the factor calculator