Q: What are the factor combinations of the number 35,959?
A:
Positive:
1 x 359597 x 513711 x 326977 x 467
Negative:
-1 x -35959-7 x -5137-11 x -3269-77 x -467
A:
Positive:
1 x 359597 x 513711 x 326977 x 467
Negative:
-1 x -35959-7 x -5137-11 x -3269-77 x -467
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 35,959, 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 | 35,959 | |
-1 | -35,959 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,959.
Example:
1 x 35,959 = 35,959
and
-1 x -35,959 = 35,959
Notice both answers equal 35,959
With that explanation out of the way, let's continue. Next, we take the number 35,959 and divide it by 2:
35,959 ÷ 2 = 17,979.5
If the quotient is a whole number, then 2 and 17,979.5 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 | 35,959 | |
-1 | -35,959 |
Now, we try dividing 35,959 by 3:
35,959 ÷ 3 = 11,986.3333
If the quotient is a whole number, then 3 and 11,986.3333 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 | 35,959 | |
-1 | -35,959 |
Let's try dividing by 4:
35,959 ÷ 4 = 8,989.75
If the quotient is a whole number, then 4 and 8,989.75 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 | 35,959 | |
-1 | 35,959 |
If you did it right, you will end up with this table:
1 | 7 | 11 | 77 | 467 | 3,269 | 5,137 | 35,959 |
-1 | -7 | -11 | -77 | -467 | -3,269 | -5,137 | -35,959 |
Here are some more numbers to try:
Try the factor calculator