Q: What are the factor combinations of the number 153,535?
A:
Positive:
1 x 1535355 x 30707
Negative:
-1 x -153535-5 x -30707
A:
Positive:
1 x 1535355 x 30707
Negative:
-1 x -153535-5 x -30707
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 153,535, 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 | 153,535 | |
-1 | -153,535 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 153,535.
Example:
1 x 153,535 = 153,535
and
-1 x -153,535 = 153,535
Notice both answers equal 153,535
With that explanation out of the way, let's continue. Next, we take the number 153,535 and divide it by 2:
153,535 ÷ 2 = 76,767.5
If the quotient is a whole number, then 2 and 76,767.5 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 | 153,535 | |
-1 | -153,535 |
Now, we try dividing 153,535 by 3:
153,535 ÷ 3 = 51,178.3333
If the quotient is a whole number, then 3 and 51,178.3333 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 | 153,535 | |
-1 | -153,535 |
Let's try dividing by 4:
153,535 ÷ 4 = 38,383.75
If the quotient is a whole number, then 4 and 38,383.75 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 | 153,535 | |
-1 | 153,535 |
If you did it right, you will end up with this table:
1 | 5 | 30,707 | 153,535 |
-1 | -5 | -30,707 | -153,535 |
Here are some more numbers to try:
Try the factor calculator