Q: What are the factor combinations of the number 152,015?
A:
Positive:
1 x 1520155 x 30403
Negative:
-1 x -152015-5 x -30403
A:
Positive:
1 x 1520155 x 30403
Negative:
-1 x -152015-5 x -30403
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 152,015, 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 | 152,015 | |
-1 | -152,015 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 152,015.
Example:
1 x 152,015 = 152,015
and
-1 x -152,015 = 152,015
Notice both answers equal 152,015
With that explanation out of the way, let's continue. Next, we take the number 152,015 and divide it by 2:
152,015 ÷ 2 = 76,007.5
If the quotient is a whole number, then 2 and 76,007.5 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 | 152,015 | |
-1 | -152,015 |
Now, we try dividing 152,015 by 3:
152,015 ÷ 3 = 50,671.6667
If the quotient is a whole number, then 3 and 50,671.6667 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 | 152,015 | |
-1 | -152,015 |
Let's try dividing by 4:
152,015 ÷ 4 = 38,003.75
If the quotient is a whole number, then 4 and 38,003.75 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 | 152,015 | |
-1 | 152,015 |
If you did it right, you will end up with this table:
1 | 5 | 30,403 | 152,015 |
-1 | -5 | -30,403 | -152,015 |
Here are some more numbers to try:
Try the factor calculator