Q: What are the factor combinations of the number 28,315?
A:
Positive:
1 x 283155 x 56637 x 404535 x 809
Negative:
-1 x -28315-5 x -5663-7 x -4045-35 x -809
A:
Positive:
1 x 283155 x 56637 x 404535 x 809
Negative:
-1 x -28315-5 x -5663-7 x -4045-35 x -809
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 28,315, 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 | 28,315 | |
-1 | -28,315 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 28,315.
Example:
1 x 28,315 = 28,315
and
-1 x -28,315 = 28,315
Notice both answers equal 28,315
With that explanation out of the way, let's continue. Next, we take the number 28,315 and divide it by 2:
28,315 ÷ 2 = 14,157.5
If the quotient is a whole number, then 2 and 14,157.5 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 | 28,315 | |
-1 | -28,315 |
Now, we try dividing 28,315 by 3:
28,315 ÷ 3 = 9,438.3333
If the quotient is a whole number, then 3 and 9,438.3333 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 | 28,315 | |
-1 | -28,315 |
Let's try dividing by 4:
28,315 ÷ 4 = 7,078.75
If the quotient is a whole number, then 4 and 7,078.75 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 | 28,315 | |
-1 | 28,315 |
If you did it right, you will end up with this table:
1 | 5 | 7 | 35 | 809 | 4,045 | 5,663 | 28,315 |
-1 | -5 | -7 | -35 | -809 | -4,045 | -5,663 | -28,315 |
Here are some more numbers to try:
Try the factor calculator