Q: What are the factor combinations of the number 96,859?
A:
Positive:
1 x 968597 x 13837101 x 959137 x 707
Negative:
-1 x -96859-7 x -13837-101 x -959-137 x -707
A:
Positive:
1 x 968597 x 13837101 x 959137 x 707
Negative:
-1 x -96859-7 x -13837-101 x -959-137 x -707
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 96,859, 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 | 96,859 | |
-1 | -96,859 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 96,859.
Example:
1 x 96,859 = 96,859
and
-1 x -96,859 = 96,859
Notice both answers equal 96,859
With that explanation out of the way, let's continue. Next, we take the number 96,859 and divide it by 2:
96,859 ÷ 2 = 48,429.5
If the quotient is a whole number, then 2 and 48,429.5 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 | 96,859 | |
-1 | -96,859 |
Now, we try dividing 96,859 by 3:
96,859 ÷ 3 = 32,286.3333
If the quotient is a whole number, then 3 and 32,286.3333 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 | 96,859 | |
-1 | -96,859 |
Let's try dividing by 4:
96,859 ÷ 4 = 24,214.75
If the quotient is a whole number, then 4 and 24,214.75 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 | 96,859 | |
-1 | 96,859 |
If you did it right, you will end up with this table:
1 | 7 | 101 | 137 | 707 | 959 | 13,837 | 96,859 |
-1 | -7 | -101 | -137 | -707 | -959 | -13,837 | -96,859 |
Here are some more numbers to try:
Try the factor calculator