Q: What are the factor combinations of the number 26,657?
A:
Positive:
1 x 2665719 x 140323 x 115961 x 437
Negative:
-1 x -26657-19 x -1403-23 x -1159-61 x -437
A:
Positive:
1 x 2665719 x 140323 x 115961 x 437
Negative:
-1 x -26657-19 x -1403-23 x -1159-61 x -437
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 26,657, 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 | 26,657 | |
-1 | -26,657 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 26,657.
Example:
1 x 26,657 = 26,657
and
-1 x -26,657 = 26,657
Notice both answers equal 26,657
With that explanation out of the way, let's continue. Next, we take the number 26,657 and divide it by 2:
26,657 ÷ 2 = 13,328.5
If the quotient is a whole number, then 2 and 13,328.5 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 | 26,657 | |
-1 | -26,657 |
Now, we try dividing 26,657 by 3:
26,657 ÷ 3 = 8,885.6667
If the quotient is a whole number, then 3 and 8,885.6667 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 | 26,657 | |
-1 | -26,657 |
Let's try dividing by 4:
26,657 ÷ 4 = 6,664.25
If the quotient is a whole number, then 4 and 6,664.25 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 | 26,657 | |
-1 | 26,657 |
If you did it right, you will end up with this table:
1 | 19 | 23 | 61 | 437 | 1,159 | 1,403 | 26,657 |
-1 | -19 | -23 | -61 | -437 | -1,159 | -1,403 | -26,657 |
Here are some more numbers to try:
Try the factor calculator