Q: What are the factor combinations of the number 625,733?
A:
Positive:
1 x 62573329 x 21577
Negative:
-1 x -625733-29 x -21577
A:
Positive:
1 x 62573329 x 21577
Negative:
-1 x -625733-29 x -21577
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 625,733, 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 | 625,733 | |
-1 | -625,733 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 625,733.
Example:
1 x 625,733 = 625,733
and
-1 x -625,733 = 625,733
Notice both answers equal 625,733
With that explanation out of the way, let's continue. Next, we take the number 625,733 and divide it by 2:
625,733 ÷ 2 = 312,866.5
If the quotient is a whole number, then 2 and 312,866.5 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 | 625,733 | |
-1 | -625,733 |
Now, we try dividing 625,733 by 3:
625,733 ÷ 3 = 208,577.6667
If the quotient is a whole number, then 3 and 208,577.6667 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 | 625,733 | |
-1 | -625,733 |
Let's try dividing by 4:
625,733 ÷ 4 = 156,433.25
If the quotient is a whole number, then 4 and 156,433.25 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 | 625,733 | |
-1 | 625,733 |
If you did it right, you will end up with this table:
1 | 29 | 21,577 | 625,733 |
-1 | -29 | -21,577 | -625,733 |
Here are some more numbers to try:
Try the factor calculator