Q: What are the factor combinations of the number 725,233?
A:
Positive:
1 x 725233761 x 953
Negative:
-1 x -725233-761 x -953
A:
Positive:
1 x 725233761 x 953
Negative:
-1 x -725233-761 x -953
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 725,233, 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 | 725,233 | |
-1 | -725,233 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 725,233.
Example:
1 x 725,233 = 725,233
and
-1 x -725,233 = 725,233
Notice both answers equal 725,233
With that explanation out of the way, let's continue. Next, we take the number 725,233 and divide it by 2:
725,233 ÷ 2 = 362,616.5
If the quotient is a whole number, then 2 and 362,616.5 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 | 725,233 | |
-1 | -725,233 |
Now, we try dividing 725,233 by 3:
725,233 ÷ 3 = 241,744.3333
If the quotient is a whole number, then 3 and 241,744.3333 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 | 725,233 | |
-1 | -725,233 |
Let's try dividing by 4:
725,233 ÷ 4 = 181,308.25
If the quotient is a whole number, then 4 and 181,308.25 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 | 725,233 | |
-1 | 725,233 |
If you did it right, you will end up with this table:
1 | 761 | 953 | 725,233 |
-1 | -761 | -953 | -725,233 |
Here are some more numbers to try:
Try the factor calculator