Q: What are the factor combinations of the number 39,701?
A:
Positive:
1 x 3970129 x 136937 x 1073
Negative:
-1 x -39701-29 x -1369-37 x -1073
A:
Positive:
1 x 3970129 x 136937 x 1073
Negative:
-1 x -39701-29 x -1369-37 x -1073
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 39,701, 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 | 39,701 | |
-1 | -39,701 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 39,701.
Example:
1 x 39,701 = 39,701
and
-1 x -39,701 = 39,701
Notice both answers equal 39,701
With that explanation out of the way, let's continue. Next, we take the number 39,701 and divide it by 2:
39,701 ÷ 2 = 19,850.5
If the quotient is a whole number, then 2 and 19,850.5 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 | 39,701 | |
-1 | -39,701 |
Now, we try dividing 39,701 by 3:
39,701 ÷ 3 = 13,233.6667
If the quotient is a whole number, then 3 and 13,233.6667 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 | 39,701 | |
-1 | -39,701 |
Let's try dividing by 4:
39,701 ÷ 4 = 9,925.25
If the quotient is a whole number, then 4 and 9,925.25 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 | 39,701 | |
-1 | 39,701 |
If you did it right, you will end up with this table:
1 | 29 | 37 | 1,073 | 1,369 | 39,701 |
-1 | -29 | -37 | -1,073 | -1,369 | -39,701 |
Here are some more numbers to try:
Try the factor calculator