Q: What are the factor combinations of the number 20,377?
A:
Positive:
1 x 203777 x 291141 x 49771 x 287
Negative:
-1 x -20377-7 x -2911-41 x -497-71 x -287
A:
Positive:
1 x 203777 x 291141 x 49771 x 287
Negative:
-1 x -20377-7 x -2911-41 x -497-71 x -287
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 20,377, 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 | 20,377 | |
-1 | -20,377 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 20,377.
Example:
1 x 20,377 = 20,377
and
-1 x -20,377 = 20,377
Notice both answers equal 20,377
With that explanation out of the way, let's continue. Next, we take the number 20,377 and divide it by 2:
20,377 ÷ 2 = 10,188.5
If the quotient is a whole number, then 2 and 10,188.5 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 | 20,377 | |
-1 | -20,377 |
Now, we try dividing 20,377 by 3:
20,377 ÷ 3 = 6,792.3333
If the quotient is a whole number, then 3 and 6,792.3333 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 | 20,377 | |
-1 | -20,377 |
Let's try dividing by 4:
20,377 ÷ 4 = 5,094.25
If the quotient is a whole number, then 4 and 5,094.25 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 | 20,377 | |
-1 | 20,377 |
If you did it right, you will end up with this table:
1 | 7 | 41 | 71 | 287 | 497 | 2,911 | 20,377 |
-1 | -7 | -41 | -71 | -287 | -497 | -2,911 | -20,377 |
Here are some more numbers to try:
Try the factor calculator