Q: What are the factor combinations of the number 39,121?
A:
Positive:
1 x 3912119 x 205929 x 134971 x 551
Negative:
-1 x -39121-19 x -2059-29 x -1349-71 x -551
A:
Positive:
1 x 3912119 x 205929 x 134971 x 551
Negative:
-1 x -39121-19 x -2059-29 x -1349-71 x -551
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 39,121, 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 | 39,121 | |
-1 | -39,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 39,121.
Example:
1 x 39,121 = 39,121
and
-1 x -39,121 = 39,121
Notice both answers equal 39,121
With that explanation out of the way, let's continue. Next, we take the number 39,121 and divide it by 2:
39,121 ÷ 2 = 19,560.5
If the quotient is a whole number, then 2 and 19,560.5 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 | 39,121 | |
-1 | -39,121 |
Now, we try dividing 39,121 by 3:
39,121 ÷ 3 = 13,040.3333
If the quotient is a whole number, then 3 and 13,040.3333 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 | 39,121 | |
-1 | -39,121 |
Let's try dividing by 4:
39,121 ÷ 4 = 9,780.25
If the quotient is a whole number, then 4 and 9,780.25 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 | 39,121 | |
-1 | 39,121 |
If you did it right, you will end up with this table:
1 | 19 | 29 | 71 | 551 | 1,349 | 2,059 | 39,121 |
-1 | -19 | -29 | -71 | -551 | -1,349 | -2,059 | -39,121 |
Here are some more numbers to try:
Try the factor calculator