Q: What are the factor combinations of the number 150,877?
A:
Positive:
1 x 15087731 x 4867157 x 961
Negative:
-1 x -150877-31 x -4867-157 x -961
A:
Positive:
1 x 15087731 x 4867157 x 961
Negative:
-1 x -150877-31 x -4867-157 x -961
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 150,877, 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 | 150,877 | |
-1 | -150,877 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 150,877.
Example:
1 x 150,877 = 150,877
and
-1 x -150,877 = 150,877
Notice both answers equal 150,877
With that explanation out of the way, let's continue. Next, we take the number 150,877 and divide it by 2:
150,877 ÷ 2 = 75,438.5
If the quotient is a whole number, then 2 and 75,438.5 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 | 150,877 | |
-1 | -150,877 |
Now, we try dividing 150,877 by 3:
150,877 ÷ 3 = 50,292.3333
If the quotient is a whole number, then 3 and 50,292.3333 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 | 150,877 | |
-1 | -150,877 |
Let's try dividing by 4:
150,877 ÷ 4 = 37,719.25
If the quotient is a whole number, then 4 and 37,719.25 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 | 150,877 | |
-1 | 150,877 |
If you did it right, you will end up with this table:
1 | 31 | 157 | 961 | 4,867 | 150,877 |
-1 | -31 | -157 | -961 | -4,867 | -150,877 |
Here are some more numbers to try:
Try the factor calculator