Q: What are the factor combinations of the number 624,773?
A:
Positive:
1 x 624773107 x 5839
Negative:
-1 x -624773-107 x -5839
A:
Positive:
1 x 624773107 x 5839
Negative:
-1 x -624773-107 x -5839
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 624,773, 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 | 624,773 | |
-1 | -624,773 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 624,773.
Example:
1 x 624,773 = 624,773
and
-1 x -624,773 = 624,773
Notice both answers equal 624,773
With that explanation out of the way, let's continue. Next, we take the number 624,773 and divide it by 2:
624,773 ÷ 2 = 312,386.5
If the quotient is a whole number, then 2 and 312,386.5 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 | 624,773 | |
-1 | -624,773 |
Now, we try dividing 624,773 by 3:
624,773 ÷ 3 = 208,257.6667
If the quotient is a whole number, then 3 and 208,257.6667 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 | 624,773 | |
-1 | -624,773 |
Let's try dividing by 4:
624,773 ÷ 4 = 156,193.25
If the quotient is a whole number, then 4 and 156,193.25 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 | 624,773 | |
-1 | 624,773 |
If you did it right, you will end up with this table:
1 | 107 | 5,839 | 624,773 |
-1 | -107 | -5,839 | -624,773 |
Here are some more numbers to try:
Try the factor calculator