Q: What are the factor combinations of the number 38,605?
A:
Positive:
1 x 386055 x 77217 x 551535 x 1103
Negative:
-1 x -38605-5 x -7721-7 x -5515-35 x -1103
A:
Positive:
1 x 386055 x 77217 x 551535 x 1103
Negative:
-1 x -38605-5 x -7721-7 x -5515-35 x -1103
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 38,605, 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 | 38,605 | |
-1 | -38,605 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 38,605.
Example:
1 x 38,605 = 38,605
and
-1 x -38,605 = 38,605
Notice both answers equal 38,605
With that explanation out of the way, let's continue. Next, we take the number 38,605 and divide it by 2:
38,605 ÷ 2 = 19,302.5
If the quotient is a whole number, then 2 and 19,302.5 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 | 38,605 | |
-1 | -38,605 |
Now, we try dividing 38,605 by 3:
38,605 ÷ 3 = 12,868.3333
If the quotient is a whole number, then 3 and 12,868.3333 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 | 38,605 | |
-1 | -38,605 |
Let's try dividing by 4:
38,605 ÷ 4 = 9,651.25
If the quotient is a whole number, then 4 and 9,651.25 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 | 38,605 | |
-1 | 38,605 |
If you did it right, you will end up with this table:
1 | 5 | 7 | 35 | 1,103 | 5,515 | 7,721 | 38,605 |
-1 | -5 | -7 | -35 | -1,103 | -5,515 | -7,721 | -38,605 |
Here are some more numbers to try:
Try the factor calculator