Q: What are the factor combinations of the number 65,125?
A:
Positive:
1 x 651255 x 1302525 x 2605125 x 521
Negative:
-1 x -65125-5 x -13025-25 x -2605-125 x -521
A:
Positive:
1 x 651255 x 1302525 x 2605125 x 521
Negative:
-1 x -65125-5 x -13025-25 x -2605-125 x -521
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 65,125, 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 | 65,125 | |
-1 | -65,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 65,125.
Example:
1 x 65,125 = 65,125
and
-1 x -65,125 = 65,125
Notice both answers equal 65,125
With that explanation out of the way, let's continue. Next, we take the number 65,125 and divide it by 2:
65,125 ÷ 2 = 32,562.5
If the quotient is a whole number, then 2 and 32,562.5 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 | 65,125 | |
-1 | -65,125 |
Now, we try dividing 65,125 by 3:
65,125 ÷ 3 = 21,708.3333
If the quotient is a whole number, then 3 and 21,708.3333 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 | 65,125 | |
-1 | -65,125 |
Let's try dividing by 4:
65,125 ÷ 4 = 16,281.25
If the quotient is a whole number, then 4 and 16,281.25 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 | 65,125 | |
-1 | 65,125 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 125 | 521 | 2,605 | 13,025 | 65,125 |
-1 | -5 | -25 | -125 | -521 | -2,605 | -13,025 | -65,125 |
Here are some more numbers to try:
Try the factor calculator