Q: What are the factor combinations of the number 34,801?
A:
Positive:
1 x 3480113 x 2677
Negative:
-1 x -34801-13 x -2677
A:
Positive:
1 x 3480113 x 2677
Negative:
-1 x -34801-13 x -2677
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 34,801, 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 | 34,801 | |
-1 | -34,801 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 34,801.
Example:
1 x 34,801 = 34,801
and
-1 x -34,801 = 34,801
Notice both answers equal 34,801
With that explanation out of the way, let's continue. Next, we take the number 34,801 and divide it by 2:
34,801 ÷ 2 = 17,400.5
If the quotient is a whole number, then 2 and 17,400.5 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 | 34,801 | |
-1 | -34,801 |
Now, we try dividing 34,801 by 3:
34,801 ÷ 3 = 11,600.3333
If the quotient is a whole number, then 3 and 11,600.3333 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 | 34,801 | |
-1 | -34,801 |
Let's try dividing by 4:
34,801 ÷ 4 = 8,700.25
If the quotient is a whole number, then 4 and 8,700.25 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 | 34,801 | |
-1 | 34,801 |
If you did it right, you will end up with this table:
1 | 13 | 2,677 | 34,801 |
-1 | -13 | -2,677 | -34,801 |
Here are some more numbers to try:
Try the factor calculator