Q: What are the factor combinations of the number 34,979?
A:
Positive:
1 x 349797 x 499719 x 1841133 x 263
Negative:
-1 x -34979-7 x -4997-19 x -1841-133 x -263
A:
Positive:
1 x 349797 x 499719 x 1841133 x 263
Negative:
-1 x -34979-7 x -4997-19 x -1841-133 x -263
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 34,979, 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 | 34,979 | |
-1 | -34,979 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 34,979.
Example:
1 x 34,979 = 34,979
and
-1 x -34,979 = 34,979
Notice both answers equal 34,979
With that explanation out of the way, let's continue. Next, we take the number 34,979 and divide it by 2:
34,979 ÷ 2 = 17,489.5
If the quotient is a whole number, then 2 and 17,489.5 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 | 34,979 | |
-1 | -34,979 |
Now, we try dividing 34,979 by 3:
34,979 ÷ 3 = 11,659.6667
If the quotient is a whole number, then 3 and 11,659.6667 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 | 34,979 | |
-1 | -34,979 |
Let's try dividing by 4:
34,979 ÷ 4 = 8,744.75
If the quotient is a whole number, then 4 and 8,744.75 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 | 34,979 | |
-1 | 34,979 |
If you did it right, you will end up with this table:
1 | 7 | 19 | 133 | 263 | 1,841 | 4,997 | 34,979 |
-1 | -7 | -19 | -133 | -263 | -1,841 | -4,997 | -34,979 |
Here are some more numbers to try:
Try the factor calculator